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兰大22年4月《线性代数》22春平时作业3_100分满分

《线性代数》22春平时作业3
1.[单选题] 设3阶实对称矩阵A的特征值分别为1,3,0,则( )
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    A.正定
    B.半正定
    C.负定
    D.半负定
    答:——C——
2.[单选题] <img id="ODdsgpiTEMP20190805121712181.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2019/0805/ODdsgpiTEMP20190805121712181.png?Expires=1880295432&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=APdnA0vpswU8pvcOaupGnj3d9Ps%3D" />
    A.<img id="ODwdpqpTEMP20190805121712322.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2019/0805/ODwdpqpTEMP20190805121712322.png?Expires=1880295432&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=vRXUzH7IsglEuv2A1omn/YblDjg%3D" />
    B.<img id="ODdyuclTEMP20190805121712455.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2019/0805/ODdyuclTEMP20190805121712455.png?Expires=1880295432&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=LnadeEferk9ZfYpX485rNRgY2pI%3D" />
    C.<img id="ODiacdrTEMP20190805121712609.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2019/0805/ODiacdrTEMP20190805121712609.png?Expires=1880295432&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=vVIllGNTVktscBHGmLk6d1spRPc%3D" />
    D.<img id="ODoykqdTEMP20190805121712732.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2019/0805/ODoykqdTEMP20190805121712732.png?Expires=1880295432&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=xBQ41wl%2BNi%2BunQv9khTe3gHgKXA%3D" />
    答:——A——
3.[单选题] <img id="ODdxzinTEMP20190805121559143.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2019/0805/ODdxzinTEMP20190805121559143.png?Expires=1880295359&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=QxpG/qnde3LgRtq2sXWad5p4GK8%3D" />
    A.(A)
    B.(B)
    C.(C)
    D.(D)
    答:——B——
4.[单选题] 题面见图20<img alt="" src="http://file.open.com.cn/ItemDB/37509/2eec5f1b-b225-4853-890f-60ad246a0f54/200811412850158.jpg" />
    A.A
    B.B
    C.C
    D.D
    答:————
5.[单选题] <img id="ODlmefeTEMP20190805121605004.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2019/0805/ODlmefeTEMP20190805121605004.png?Expires=1880295365&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=EIELtMNrhDLHtLxFh129qzVFRV0%3D" />
    A.(A)
    B.(B)    东北大学无忧答案网整理
    C.(C)
    D.(D)
    答:————
6.[单选题] 若A和B相似,则下列说法错误的为( )
    A.A与B等价
    B.A与B合同
    C.|A|=|B|
    D.A与B有相同的特征值
    答:————
7.[单选题] <img id="ODbabciTEMP20190805121706204.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2019/0805/ODbabciTEMP20190805121706204.png?Expires=1880295426&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=pjlPi/6%2BUZJjPx5QHMFkSHPvnmk%3D" />
    A.<img id="ODtxvasTEMP20190805121706363.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2019/0805/ODtxvasTEMP20190805121706363.png?Expires=1880295426&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=6S8hSapd2XtuRUU7GzXc3zSzZHg%3D" />
    B.<img id="ODwfiozTEMP20190805121706589.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2019/0805/ODwfiozTEMP20190805121706589.png?Expires=1880295426&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=2i2S%2BzVp2RGHig8iz4nZ1L8ZvRo%3D" />
    C.<img id="ODsxwusTEMP20190805121706727.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2019/0805/ODsxwusTEMP20190805121706727.png?Expires=1880295426&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=zmZefY1R/39ZahVIqjgn0/7trkw%3D" />
    D.<img id="ODzcnhsTEMP20190805121706843.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2019/0805/ODzcnhsTEMP20190805121706843.png?Expires=1880295426&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=VuOhhsdcSoDVbNKHRjlt7QhesuE%3D" />
    答:————
8.[单选题] <img id="ODcpsduTEMP20190805121724547.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2019/0805/ODcpsduTEMP20190805121724547.png?Expires=1880295444&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=DTLmHujarVmJbdWZp1WqS47lWRE%3D" />
    A.m+n
    B.-(m+n)
    C.n-m
    D.m-n
    答:————
9.[单选题] <img id="ODrbesjTEMP20190805121635382.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2019/0805/ODrbesjTEMP20190805121635382.png?Expires=1880295395&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=e0/W/J/MOLAL5p991kBSVrymjYA%3D" />
    A.-180
    B.-120
    C.120
    D.180
    答:————
10.[单选题] 题面见图26
    A.A
    B.B
    C.C
    D.D
    答:————
11.[单选题] <img id="ODiueufTEMP20190805121731392.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2019/0805/ODiueufTEMP20190805121731392.png?Expires=1880295451&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=N6hrmLlX7qETlc9ItU5TkooeyiU%3D" />
    A.1/2
    B.1
    C.4/3
    D.2
    答:————
12.[单选题] 题面见图1<img height="146" width="623" alt="" src="http://file.open.com.cn/ItemDB/37509/34395bf4-d95e-44af-81a3-307ebf818b8d/200811412175873.JPG" />
    A.A
    B.B
    C.C
    D.D
    答:————
13.[单选题] 题面见图15<img height="214" width="754" alt="" src="http://file.open.com.cn/ItemDB/37509/25c38445-18c6-48ed-afe8-299ce1f2fe52/200811412502895.jpg" />
    A.A
    B.B
    C.C
    D.D
    答:————
14.[单选题] <img id="ODtrzjmTEMP20190805121621481.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2019/0805/ODtrzjmTEMP20190805121621481.png?Expires=1880295381&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=VpbpRFEBHx8iIBSAEpAZkRhXewM%3D" />
    A.1
    B.-1
    C.2
    D.-2
    答:————
15.[单选题] <img id="ODpigdzTEMP20190805121604311.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2019/0805/ODpigdzTEMP20190805121604311.png?Expires=1880295364&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=DQzLVTfUgONA69jg5%2BKrI/mckfo%3D" />
    A.(A)
    B.(B)
    C.(C)
    D.(D)
    答:————
16.[单选题] 下面结论正确的是( )
    A.含有零元素的矩阵是零矩阵
    B.零矩阵都是方阵
    C.所有元素都是零的矩阵是零矩阵
    D.若A、B都是零矩阵,则A=B
    答:————
17.[判断题] 题面见图1-1<img height="89" width="730" alt="" src="http://file.open.com.cn/ItemDB/37509/99c6aa00-d9cb-455b-8278-8dfd1f1641d7/200811412476393.jpg" />
    A.错误
    B.正确
    答:————
18.[判断题] 题面见图1-8<img height="98" width="749" alt="" src="http://file.open.com.cn/ItemDB/37509/547f01ad-400b-492b-8334-37b180df2267/2008114124433238.jpg" />
    A.错误
    B.正确
    答:————
19.[判断题] 题面见图1-4<img height="47" width="443" alt="" src="http://file.open.com.cn/ItemDB/37509/d79d9786-7b9f-4ce0-b39b-f98d2a992886/2008114121744763.JPG" />
    A.错误
    B.正确
    答:————
20.[判断题] 题面见图1-2<img height="88" width="732" alt="" src="http://file.open.com.cn/ItemDB/37509/6652b8ba-89cb-4bec-a93b-9692ef4e63ae/2008114124646924.jpg" />
    A.错误
    B.正确
    答:————
21.[判断题] 题面见图1-6<img height="30" width="735" alt="" src="http://file.open.com.cn/ItemDB/37509/9bb7b88f-0694-4130-9779-e18d18a2844d/2008114124513237.jpg" />
    A.错误
    B.正确
    答:————
22.[判断题] 题面见图1-11<img height="62" width="739" alt="" src="http://file.open.com.cn/ItemDB/37509/da3ef21e-b309-4553-af1a-b8531911fb67/2008114124321222.jpg" />
    A.错误
    B.正确
    答:————
23.[判断题] 题面见图1-2<img height="36" width="629" alt="" src="http://file.open.com.cn/ItemDB/37509/04ebbdff-73c3-45e0-bdab-73b71adc04b6/2008114121821966.JPG" />
    A.错误
    B.正确
    答:————
24.[判断题] <img height="89" width="748" alt="" src="http://file.open.com.cn/ItemDB/37509/028c476f-3eaa-49e5-9f17-19fd90cd99f4/200811412185248.JPG" />题面见图1-3
    A.错误
    B.正确
    答:————
25.[判断题] 题面见图1-10<img height="91" width="747" alt="" src="http://file.open.com.cn/ItemDB/37509/7a3919c2-cffe-4ae5-9797-df6c0b16e672/2008114124340207.jpg" />
    A.错误
    B.正确
    答:————
26.[判断题] 题面见图1-3<img height="75" width="738" alt="" src="http://file.open.com.cn/ItemDB/37509/75a09c1a-1083-494e-8bd0-157732cfd1cc/200811412462765.jpg" />
    A.错误
    B.正确
    答:————

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