西南大学22年9月0044 线性代数在线作业非答案

admin · 发表于 2023-4-4 09:02:25

答案来源：www.ybaotk.com0044 线性代数

1.[单选题] <img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605145173388072461.png" title="202011121605145173388072461.png" alt="image.png"/> （）

答案资料下载请参考
说明

A.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605145262175072227.png" title="202011121605145262175072227.png" alt="image.png"/>

B.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605145286863005964.png" title="202011121605145286863005964.png" alt="image.png"/>

C.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605145216176013248.png" title="202011121605145216176013248.png" alt="image.png"/>

D.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605145240719011631.png" title="202011121605145240719011631.png" alt="image.png"/>

2.[单选题] <img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605143929070087079.png" title="202011121605143929070087079.png" alt="image.png"/> （）

A.2

B.任何实数

C.0

D.1

3.[单选题] <img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605146409963024341.png" title="202011121605146409963024341.png" alt="image.png"/> （）

A.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605146462911015053.png" title="202011121605146462911015053.png" alt="image.png"/>

B.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605146503560016492.png" title="202011121605146503560016492.png" alt="image.png"/>

C.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605146482390049051.png" title="202011121605146482390049051.png" alt="image.png"/>

D.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605146525461083453.png" title="202011121605146525461083453.png" alt="image.png"/>

4.[单选题] <img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605149304622073666.png" title="202011121605149304622073666.png" alt="image.png"/>  （）

A.以上选项都不对

B.存在非零解

C.无解

D.只有零解

5.[单选题] <img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605150381368029845.png" title="202011121605150381368029845.png" alt="image.png"/>  （）

A.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605150448715093273.png" title="202011121605150448715093273.png" alt="image.png"/>

B.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605150428741019256.png" title="202011121605150428741019256.png" alt="image.png"/>

C.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605150406526042997.png" title="202011121605150406526042997.png" alt="image.png"/>

D.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605150474212046080.png" title="202011121605150474212046080.png" alt="image.png"/>

6.[单选题] <img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605111442608043008.png" title="202011121605111442608043008.png" alt="image.png"/> （）

A.(-3，0，2)

B.(2，1，1)

C.(1，1，0)

D.(0，-1，1)

7.[单选题] 下列各向量组线性相关的是（）

A.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605111640993069541.png" title="202011121605111640993069541.png" alt="image.png"/>

B.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605111665560051307.png" title="202011121605111665560051307.png" alt="image.png"/>

C.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605111616808059139.png" title="202011121605111616808059139.png" alt="image.png"/>

D.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605111591537009017.png" title="202011121605111591537009017.png" alt="image.png"/>

8.[单选题] <img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605144292379004003.png" title="202011121605144292379004003.png" alt="image.png"/>  （）

A.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605144399447010214.png" title="202011121605144399447010214.png" alt="image.png"/>

B.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605144349312065391.png" title="202011121605144349312065391.png" alt="image.png"/>

C.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605144326161085455.png" title="202011121605144326161085455.png" alt="image.png"/>

D.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605144377870080624.png" title="202011121605144377870080624.png" alt="image.png"/>

9.[单选题] <img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605143842051069169.png" title="202011121605143842051069169.png" alt="image.png"/> （）

A.以上选项都不对

B.无解

C.只有零解

D.存在非零解

10.[单选题] 设α1，α2，α3，α4 是一组n维向量，其中α1，α2，α3线性无关，则（）

A.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605150726908073006.png" title="202011121605150726908073006.png" alt="image.png"/>

B.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605150776004065576.png" title="202011121605150776004065576.png" alt="image.png"/>

C.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605150703302006009.png" title="202011121605150703302006009.png" alt="image.png"/>

D.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605150750901053354.png" title="202011121605150750901053354.png" alt="image.png"/>

11.[单选题] <img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605110651894048623.png" title="202011121605110651894048623.png" alt="image.png"/> （）

A.可逆矩阵

B.以上选项都不对

C.非奇异矩阵

D.奇异矩阵

12.[单选题] <img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/28/202011281606570383898092880.png" title="202011281606570383898092880.png" alt="image.png" width="520" height="26" style="width: 520px; height: 26px;"/> （）

A.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/11/202011111605110243077029460.png" title="202011111605110243077029460.png" alt="image.png"/>

B.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/11/202011111605110140380023615.png" title="202011111605110140380023615.png" alt="image.png"/>

C.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/11/202011111605110172621062933.png" title="202011111605110172621062933.png" alt="image.png"/>

D.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/11/202011111605110208919062836.png" title="202011111605110208919062836.png" alt="image.png"/>

13.[单选题] <img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/11/202011111605109493271009907.png" title="202011111605109493271009907.png" alt="image.png"/> （）

A.B.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/11/202011111605109607064095253.png" title="202011111605109607064095253.png" alt="image.png"/>

B.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/11/202011111605109576931032135.png" title="202011111605109576931032135.png" alt="image.png"/>

C.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/11/202011111605109536068051381.png" title="202011111605109536068051381.png" alt="image.png"/>

D.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/11/202011111605109639006039662.png" title="202011111605109639006039662.png" alt="image.png"/>

14.[单选题] <img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs/201608301472525736418068820.png" title="201608301472525736418068820.png" alt="blob.png"/>

A.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs/201608301472525781186055147.png" title="201608301472525781186055147.png" alt="blob.png"/>

B.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs/201608301472525769425019854.png" title="201608301472525769425019854.png" alt="blob.png"/>

C.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs/201608301472525793907063527.png" title="201608301472525793907063527.png" alt="blob.png"/>

D.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs/201608301472525756980086622.png" title="201608301472525756980086622.png" alt="blob.png"/>

15.[单选题] <img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/28/202011281606570263210077754.png" title="202011281606570263210077754.png" alt="image.png" width="350" height="52" style="width: 350px; height: 52px;"/>  （）

A.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605110437063074115.png" title="202011121605110437063074115.png" alt="image.png"/>

B.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/11/202011111605110363824041683.png" title="202011111605110363824041683.png" alt="image.png"/>

C.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/11/202011111605110399783023954.png" title="202011111605110399783023954.png" alt="image.png"/>

D.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605110469413012086.png" title="202011121605110469413012086.png" alt="image.png"/>

16.[单选题] 方阵A，B满足r(A)=r(B)，则（）

A.A－B=0

B.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605145712759038159.png" title="202011121605145712759038159.png" alt="image.png"/>

C.r(A－B)=0

D.r(A+B)=2r(A)

17.[单选题] <img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/15/202011151605418945014034485.png" title="202011151605418945014034485.png" alt="image.png"/> （）

A.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/15/202011151605418966678069571.png" title="202011151605418966678069571.png" alt="image.png"/>

B.以上选项都不对

C.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/15/202011151605419003081098565.png" title="202011151605419003081098565.png" alt="image.png"/>

D.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/15/202011151605419030266063301.png" title="202011151605419030266063301.png" alt="image.png"/>

18.[单选题] <img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605150253231040261.png" title="202011121605150253231040261.png" alt="image.png"/>  （）

A.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605150308405042415.png" title="202011121605150308405042415.png" alt="image.png"/>

B.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605150288607064060.png" title="202011121605150288607064060.png" alt="image.png"/>

C.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605150327493034681.png" title="202011121605150327493034681.png" alt="image.png"/>

D.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605150354694081664.png" title="202011121605150354694081664.png" alt="image.png"/>

19.[单选题] <img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/15/202011151605416397412063376.png" title="202011151605416397412063376.png" alt="image.png"/> （）

A.矩阵的行向量组线性相关

B.矩阵的行向量组线性无关

C.矩阵的列向量组线性相关

D.矩阵的列向量组线性无关

20.[单选题] <img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605144264137031678.png" title="202011121605144264137031678.png" alt="image.png"/> （）

A.3

B.1

C.4

D.2

21.[单选题] 下列矩阵是初等矩阵的是（）

A.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605110585914068888.png" title="202011121605110585914068888.png" alt="image.png"/>

B.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605110529487030296.png" title="202011121605110529487030296.png" alt="image.png"/>

C.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605110558773013917.png" title="202011121605110558773013917.png" alt="image.png"/>

D.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605110619739090312.png" title="202011121605110619739090312.png" alt="image.png"/>

22.[单选题] <img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605149421782055686.png" title="202011121605149421782055686.png" alt="image.png"/> （）

A.4

B.8

C.16

D.2

23.[单选题] <img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/15/202011151605416008783086245.png" title="202011151605416008783086245.png" alt="image.png"/>  （）

A.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/15/202011151605416073095018883.png" title="202011151605416073095018883.png" alt="image.png"/>

B.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/15/202011151605416057047041429.png" title="202011151605416057047041429.png" alt="image.png"/>

C.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/15/202011151605416038574097415.png" title="202011151605416038574097415.png" alt="image.png"/>

D.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/15/202011151605416091306013469.png" title="202011151605416091306013469.png" alt="image.png"/>

24.[单选题] <img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605111711100083597.png" title="202011121605111711100083597.png" alt="image.png"/>  （）

A.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605111773222056641.png" title="202011121605111773222056641.png" alt="image.png"/>

B.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605111800862008383.png" title="202011121605111800862008383.png" alt="image.png"/>

C.以上选项都不对

D.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605111742602004094.png" title="202011121605111742602004094.png" alt="image.png"/>

25.[单选题] 向量组α1，α2，…, αs的秩为r，且r＜s，则（）

A.α1，α2，…, αs中任意r - 1个向量线性无关

B.α1，α2，…, αs中任意r个向量线性无关

C.α1，α2，…, αs中任意r + 1个向量线性相关

D.α1，α2，…, αs线性无关

26.[单选题] <img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/15/202011151605416113532078717.png" title="202011151605416113532078717.png" alt="image.png"/>  （）

A.16

B.48

C.-16

D.-48

27.[单选题] <img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605149485317074389.png" title="202011121605149485317074389.png" alt="image.png"/>  （）

A.0，1，2，3

B.0，1，2

C.1，2，3

D.1，2，3，4

28.[单选题] <img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/15/202011151605419072050079610.png" title="202011151605419072050079610.png" alt="image.png"/> （）

A.方程组Ax = 0有非零解

B.矩阵的行向量组线性无关

C.矩阵的列向量组线性无关

D.矩阵的行列式不为0

29.[单选题] <img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/15/202011151605418484430061382.png" title="202011151605418484430061382.png" alt="image.png"/> （）

A.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/15/202011151605418537113028975.png" title="202011151605418537113028975.png" alt="image.png"/>

B.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/15/202011151605418556384074453.png" title="202011151605418556384074453.png" alt="image.png"/>

C.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/15/202011151605418571910019930.png" title="202011151605418571910019930.png" alt="image.png"/>

D.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/15/202011151605418514807088265.png" title="202011151605418514807088265.png" alt="image.png"/>

30.[单选题] <img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/11/202011111605109675900041819.png" title="202011111605109675900041819.png" alt="image.png"/>  （）

A.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/11/202011111605109764470042186.png" title="202011111605109764470042186.png" alt="image.png"/>

B.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/11/202011111605109707593071714.png" title="202011111605109707593071714.png" alt="image.png"/>

C.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/11/202011111605109734720048058.png" title="202011111605109734720048058.png" alt="image.png"/>

D.以上说法都不对

31.[单选题] <img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605150133881034257.png" title="202011121605150133881034257.png" alt="image.png"/>  （）

A.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605150222356003947.png" title="202011121605150222356003947.png" alt="image.png"/>

B.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605150203732087759.png" title="202011121605150203732087759.png" alt="image.png"/>

C.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605150179429014391.png" title="202011121605150179429014391.png" alt="image.png"/>

D.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605150157934047695.png" title="202011121605150157934047695.png" alt="image.png"/>

32.[单选题] 设A, B均为n阶方阵,  则有（）

A.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605149797806017277.png" title="202011121605149797806017277.png" alt="image.png"/>

B.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605149746879011099.png" title="202011121605149746879011099.png" alt="image.png"/>

C.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605149721360005204.png" title="202011121605149721360005204.png" alt="image.png"/>

D.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605149773575045607.png" title="202011121605149773575045607.png" alt="image.png"/>

33.[单选题] <img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/15/202011151605416165909017664.png" title="202011151605416165909017664.png" alt="image.png"/>  （）

A.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/15/202011151605416221295004914.png" title="202011151605416221295004914.png" alt="image.png"/>

B.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/15/202011151605416206978042995.png" title="202011151605416206978042995.png" alt="image.png"/>

C.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/15/202011151605416251260058237.png" title="202011151605416251260058237.png" alt="image.png"/>

D.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/15/202011151605416188465029958.png" title="202011151605416188465029958.png" alt="image.png"/>

34.[单选题] <img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/15/202011151605418594261018806.png" title="202011151605418594261018806.png" alt="image.png"/>  （）

A.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/15/202011151605418649934012100.png" title="202011151605418649934012100.png" alt="image.png"/>

B.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/15/202011151605418617753016664.png" title="202011151605418617753016664.png" alt="image.png"/>

C.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/15/202011151605418673687058235.png" title="202011151605418673687058235.png" alt="image.png"/>

D.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/15/202011151605418634367080365.png" title="202011151605418634367080365.png" alt="image.png"/>

35.[单选题] <img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605149856050077029.png" title="202011121605149856050077029.png" alt="image.png"/> （）

A.B = 0

B.A可逆

C.A = B

D.AB = BA.

36.[单选题] <img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/15/202011151605416276451039675.png" title="202011151605416276451039675.png" alt="image.png"/>  （）

A.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/15/202011151605416303030040298.png" title="202011151605416303030040298.png" alt="image.png"/>

B.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/15/202011151605416332717018479.png" title="202011151605416332717018479.png" alt="image.png"/>

C.<em>A</em>

D.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/15/202011151605416318636082573.png" title="202011151605416318636082573.png" alt="image.png"/>

37.[单选题] <img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605144850230026235.png" title="202011121605144850230026235.png" alt="image.png"/> （）

A.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605144901387061232.png" title="202011121605144901387061232.png" alt="image.png"/>

B.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605144877627075785.png" title="202011121605144877627075785.png" alt="image.png"/>

C.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605144942201064648.png" title="202011121605144942201064648.png" alt="image.png"/>

D.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605144921226074302.png" title="202011121605144921226074302.png" alt="image.png"/>

38.[单选题] <img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605145333633031796.png" title="202011121605145333633031796.png" alt="image.png"/> （）

A.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605145405238082755.png" title="202011121605145405238082755.png" alt="image.png"/>

B.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605145426151071870.png" title="202011121605145426151071870.png" alt="image.png"/>

C.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605145372383096402.png" title="202011121605145372383096402.png" alt="image.png"/>

D.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605145390447031666.png" title="202011121605145390447031666.png" alt="image.png"/>

39.[单选题] <img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605150863167081107.png" title="202011121605150863167081107.png" alt="image.png"/>  （）

A.1

B.2

C.6

D.3

40.[单选题] 以123456为标准排列，则排列243156的逆序数是（）

A.5

B.2

C.4

D.3

41.[单选题] <img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/15/202011151605416471608060901.png" title="202011151605416471608060901.png" alt="image.png"/>  （）

A.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/15/202011151605416496864027803.png" title="202011151605416496864027803.png" alt="image.png"/>

B.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/15/202011151605416554930078178.png" title="202011151605416554930078178.png" alt="image.png"/>

C.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/15/202011151605416521524077485.png" title="202011151605416521524077485.png" alt="image.png"/>

D.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/15/202011151605416537421035438.png" title="202011151605416537421035438.png" alt="image.png"/>

42.[单选题] <img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605149635619031112.png" title="202011121605149635619031112.png" alt="image.png"/> （）

A.0

B.1

C.2

D.3

43.[单选题] <img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/15/202011151605418905831045482.png" title="202011151605418905831045482.png" alt="image.png"/>  （）

A.2

B.4

C.1

D.3

44.[单选题] <img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605150522174009710.png" title="202011121605150522174009710.png" alt="image.png"/>  （）

A.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605150568060080480.png" title="202011121605150568060080480.png" alt="image.png"/>

B.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605150634747027045.png" title="202011121605150634747027045.png" alt="image.png"/>

C.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605150590507073526.png" title="202011121605150590507073526.png" alt="image.png"/>

D.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605150612578025454.png" title="202011121605150612578025454.png" alt="image.png"/>

45.[单选题] <img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/11/202011111605109853526077949.png" title="202011111605109853526077949.png" alt="image.png"/>  （）

A.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/11/202011111605109909640002610.png" title="202011111605109909640002610.png" alt="image.png"/>

B.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/11/202011111605109886318009779.png" title="202011111605109886318009779.png" alt="image.png"/>

C.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/11/202011111605109967870015361.png" title="202011111605109967870015361.png" alt="image.png"/>

D.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/11/202011111605109938311002102.png" title="202011111605109938311002102.png" alt="image.png"/>

46.[单选题] <img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605146786792030449.png" title="202011121605146786792030449.png" alt="image.png"/> （）

A.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605146839468029414.png" title="202011121605146839468029414.png" alt="image.png"/>

B.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605146855156027292.png" title="202011121605146855156027292.png" alt="image.png"/>

C.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605146875299020229.png" title="202011121605146875299020229.png" alt="image.png"/>

D.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605146820934089419.png" title="202011121605146820934089419.png" alt="image.png"/>

47.[单选题] <img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/15/202011151605416596208781234.png" title="202011151605416596208781234.png" alt="image.png"/> （）

A.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/15/202011151605416637906097709.png" title="202011151605416637906097709.png" alt="image.png"/>

B.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/15/202011151605416622446027724.png" title="202011151605416622446027724.png" alt="image.png"/>

C.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/15/202011151605416673885044432.png" title="202011151605416673885044432.png" alt="image.png"/>

D.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/15/202011151605416657090008375.png" title="202011151605416657090008375.png" alt="image.png"/>

48.[单选题] <img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/15/202011151605418758229029974.png" title="202011151605418758229029974.png" alt="image.png"/>  （）

A.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/15/202011151605418793201070579.png" title="202011151605418793201070579.png" alt="image.png"/>

B.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/15/202011151605418816837081052.png" title="202011151605418816837081052.png" alt="image.png"/>

C.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/15/202011151605418849924059537.png" title="202011151605418849924059537.png" alt="image.png"/>

D.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/15/202011151605418876509097210.png" title="202011151605418876509097210.png" alt="image.png"/>

49.[单选题] <img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/15/202011151605418707084071874.png" title="202011151605418707084071874.png" alt="image.png"/> （）

A.0

B.1

C.4

D.3

50.[单选题] <img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605149953270076358.png" title="202011121605149953270076358.png" alt="image.png"/>  （）

A.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605149997446031677.png" title="202011121605149997446031677.png" alt="image.png"/>

B.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605149979462004742.png" title="202011121605149979462004742.png" alt="image.png"/>

C.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605150022134076100.png" title="202011121605150022134076100.png" alt="image.png"/>

D.<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605150049813064522.png" title="202011121605150049813064522.png" alt="image.png"/>

51.[单选题] <img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/11/202011111605109414170001202.png" title="202011111605109414170001202.png" alt="image.png"/> （）

A.-1

B.0

C.3

D.-2

52.[判断题] 初等矩阵的逆矩阵一定是初等矩阵。（）

A.正确

B.错误

53.[判断题] 单位矩阵经过一次初等变换得到的矩阵为初等矩阵。（）

A.正确

B.错误

54.[判断题] 若Ax = b（b ≠ 0）有无穷多解，则Ax = 0也有无穷多解。（）

A.正确

B.错误

55.[判断题] <img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605147550933099745.png" title="202011121605147550933099745.png" alt="image.png"/> 。（）

A.正确

B.错误

56.[判断题] 若A与B相似，则A –λE = B - λE. 。（）

A.正确

B.错误

57.[判断题] <img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605151101623046496.png" title="202011121605151101623046496.png" alt="image.png"/>。（）

A.正确

B.错误

58.[判断题] 向量组线性无关的充分必要条件是由向量组构成的矩阵的秩为向量组中的向量个数。（）

A.正确

B.错误

59.[判断题] 由列向量组构成的矩阵在进行初等行变换时不会改变列向量组的线性相关性。（）

A.正确

B.错误
答案

60.[判断题] 向量组与其极大无关组可以相互线性表示。（）

A.正确

B.错误

61.[判断题] 将矩阵中的某行所有数都乘以同一个数是矩阵的初等行变换。（）

A.正确

B.错误

62.[判断题] 设A、B为两个可逆的同阶方阵，两矩阵的秩相等。（）

A.正确

B.错误

63.[判断题] <img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605147173724087371.png" title="202011121605147173724087371.png" alt="image.png"/>  。（）

A.正确

B.错误

64.[判断题] <img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/15/202011151605421276031061314.png" title="202011151605421276031061314.png" alt="image.png"/> （）

A.正确

B.错误

65.[判断题] 若方阵A可逆，则A的伴随矩阵也可逆。（）

A.正确

B.错误

66.[判断题] <img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/15/202011151605421243157077514.png" title="202011151605421243157077514.png" alt="image.png"/> （）

A.正确

B.错误

67.[判断题] <img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605112408672025734.png" title="202011121605112408672025734.png" alt="image.png"/>。（）

A.正确

B.错误

68.[判断题] <img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605147223846069716.png" title="202011121605147223846069716.png" alt="image.png"/>。（）

A.正确

B.错误

69.[判断题] 零矩阵的秩为0。（）

A.正确

B.错误

70.[判断题] 矩阵的最高阶非零子式的阶数为矩阵的秩。（）

A.正确

B.错误

71.[判断题] <img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605151186782065506.png" title="202011121605151186782065506.png" alt="image.png"/>。（）

A.正确

B.错误

72.[判断题] <img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605151230876034679.png" title="202011121605151230876034679.png" alt="image.png"/>。（）

A.正确

B.错误

73.[判断题] 如果两个向量的对应分量分别相等，则这两个向量相等。（）

A.正确

B.错误

74.[判断题] 对矩阵实施初等列变换就是在矩阵左端乘上若干个初等矩阵。（）

A.正确

B.错误

75.[判断题] <img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/15/202011151605421321916072975.png" title="202011151605421321916072975.png" alt="image.png"/> （）

A.正确

B.错误

76.[判断题] 实对称矩阵的特征值都是实数。（）

A.正确

B.错误

77.[判断题] <img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605151333552091024.png" title="202011121605151333552091024.png" alt="image.png"/>。（）

A.正确

B.错误

78.[判断题] 如果一个矩阵等价于一个单位阵，则该矩阵的行列式一定不等于0。（）

A.正确

B.错误

79.[判断题] 若λ为方阵A的特征值，则对于任意数k,有kλ是kA的特征值。（）

A.正确

B.错误

80.[判断题] 主对角线以上的元素都是0的行列式称为上三角行列式。（）

A.正确

B.错误

81.[判断题] 若n阶方阵A、B都可逆，则A + B与 AB 也都可逆。（）

A.正确

B.错误

82.[判断题] 一个矩阵的转置矩阵就是将其所有的行都换为对应列（即第i行换为第i列）。（）

A.正确

B.错误

83.[判断题] 设A、B为两个可逆的同阶方阵，则|A| = |B| 。（）

A.正确

B.错误

84.[判断题] <img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605147254584037814.png" title="202011121605147254584037814.png" alt="image.png"/> 。（）

A.正确

B.错误

85.[判断题] 设3阶方阵A的特征值为1，-1，2，则E - A为可逆矩阵。（）

A.正确

B.错误

86.[判断题] 设A和B是n阶方阵且AB = O，则|A| = |B| = 0。（）

A.正确

B.错误

87.[判断题] <img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605112367226000605.png" title="202011121605112367226000605.png" alt="image.png"/>。（）

A.正确

B.错误

88.[判断题] <img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605112197529013403.png" title="202011121605112197529013403.png" alt="image.png"/>。（）

A.正确

B.错误

89.[判断题] 如果线性方程组的系数矩阵与增广矩阵的秩相等，那么该方程组有唯一解。（）

A.正确

B.错误

90.[判断题] <img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/20/202011201605866634204042389.png" title="202011201605866634204042389.png" alt="image.png"/>。（）

A.正确

B.错误

91.[判断题] 矩阵的行阶梯矩阵中的非零行的行数称为矩阵的秩。（）

A.正确

B.错误

92.[判断题] 设A、B为两个等价的方阵，则|A| = |B|。

A.正确

B.错误

93.[判断题] 如果线性方程组有唯一解，那么该方程组的系数矩阵与增广矩阵的秩相等。（）

A.正确

B.错误

94.[判断题] 行列式的某行各元素乘以同一个数加到另一行的对应元素，行列式不变。（）

A.正确

B.错误

95.[判断题] 转置运算不改变方阵的行列式、秩和特征值。（）

A.正确

B.错误

96.[判断题] <img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605151140586074247.png" title="202011121605151140586074247.png" alt="image.png"/>。（）

A.正确

B.错误

97.[判断题] 设A为m×n矩阵，则齐次线性方程组Ax = 0仅有零解的充分必要条件是A的列向量组线性无关。（）

A.正确

B.错误

98.[问答题] <img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/12/202011121605147649290019693.png" title="202011121605147649290019693.png" alt="image.png"/>

A.

99.[问答题] <img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs/201608301472526147592058250.png" title="201608301472526147592058250.png" alt="blob.png"/>

A.

100.[问答题] <img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/11/28/202011281606569979012007996.png" title="202011281606569979012007996.png" alt="image.png"/>

A.

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答案来源：www.ybaotk.com

西南大学22年9月0044 线性代数在线作业非答案

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