《工程数学基础(Ⅰ)2342》18春在线作业1-0001

<IMG SRC=”http://file.open.com.cn/Lms/ItemDBAttachments/image/singleselect/jiaoxuecd/20061124/6411c302.JPG”></IMG>
A:<IMG SRC=”http://file.open.com.cn/Lms/ItemDBAttachments/image/singleselect/jiaoxuecd/20061124/d400af10.JPG”></IMG>
B:<IMG SRC=”http://file.open.com.cn/Lms/ItemDBAttachments/image/singleselect/jiaoxuecd/20061124/401f920a.JPG”></IMG>
C:<IMG SRC=”http://file.open.com.cn/Lms/ItemDBAttachments/image/singleselect/jiaoxuecd/20061124/d757cce5.JPG”></IMG>
D:<IMG SRC=”http://file.open.com.cn/Lms/ItemDBAttachments/image/singleselect/jiaoxuecd/20061124/54d04920.JPG”></IMG>

<IMG SRC=”http://file.open.com.cn/Lms/ItemDBAttachments/image/singleselect/jiaoxuecd/20061020/87f03dab.JPG”></IMG>
A:53
B:12
C:-26
D:15

<IMG SRC=”http://file.open.com.cn/Lms/ItemDBAttachments/image/singleselect/jiaoxuecd/20061124/82184fe6.JPG”></IMG>
A:有n个特征值等于1
B:有n-1个特征值等于1
C:有1个特征值等于1
D:没有1个特征值等于1

<IMG SRC=”http://file.open.com.cn/Lms/ItemDBAttachments/image/singleselect/jiaoxuecd/20061124/680a3bf1.JPG”></IMG>
A:0
B:0或-1
C:-1
D:-1或1

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A:b=1`
B:b=-1
C:b=2
D:b=-2

设向量组A是向量组B的线性无关的部分向量组,则
A:向量组A是B的极大线性无关组
B:向量组A与B的秩相等
C:当A中向量均可由B线性表出时,向量组A,B等价
D:当B中向量均可由A线性表出时,向量组A,B等价

设A,B,C均为n阶方阵,下列各式中不一定成立的是
A:<IMG SRC=”http://file.open.com.cn/Lms/ItemDBAttachments/image/singleselect/jiaoxuecd/20061020/a8ec6493.JPG”></IMG>
B:<IMG SRC=”http://file.open.com.cn/Lms/ItemDBAttachments/image/singleselect/jiaoxuecd/20061020/b0e2b65a.JPG”></IMG>
C:<IMG SRC=”http://file.open.com.cn/Lms/ItemDBAttachments/image/singleselect/jiaoxuecd/20061020/a89d6a10.JPG”></IMG>
D:<IMG SRC=”http://file.open.com.cn/Lms/ItemDBAttachments/image/singleselect/jiaoxuecd/20061020/1f3f183c.JPG”></IMG>

<IMG SRC=”http://file.open.com.cn/Lms/ItemDBAttachments/image/singleselect/jiaoxuecd/20061124/e0bdac75.JPG”></IMG>
A:4
B:-4
C:-6
D:6

<IMG SRC=”http://file.open.com.cn/Lms/ItemDBAttachments/image/singleselect/jiaoxuecd/20061020/06f5ae96.JPG”></IMG>
A:1
B:2
C:3
D:4

设A,B为n阶方阵,且r(A)= r(B),则
A:r(A-B)=0
B:r(A+B)=2 r(A)
C:r(A,B)=2 r(A)
D:<IMG SRC=”http://file.open.com.cn/Lms/ItemDBAttachments/image/singleselect/jiaoxuecd/20061124/6694b247.JPG”></IMG>

<IMG SRC=”http://file.open.com.cn/Lms/ItemDBAttachments/image/singleselect/jiaoxuecd/20061124/07039477.JPG”></IMG>
A:4
B:3
C:2
D:1

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A:<IMG SRC=”http://file.open.com.cn/Lms/ItemDBAttachments/image/singleselect/jiaoxuecd/20061020/b656b6dc.JPG”></IMG>
B:<IMG SRC=”http://file.open.com.cn/Lms/ItemDBAttachments/image/singleselect/jiaoxuecd/20061020/b0a6210d.JPG”></IMG>
C:<IMG SRC=”http://file.open.com.cn/Lms/ItemDBAttachments/image/singleselect/jiaoxuecd/20061020/4a08baf9.JPG”></IMG>
D:<IMG SRC=”http://file.open.com.cn/Lms/ItemDBAttachments/image/singleselect/jiaoxuecd/20061020/1433651f.JPG”></IMG>

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A:<IMG SRC=”http://file.open.com.cn/Lms/ItemDBAttachments/image/singleselect/jiaoxuecd/20061020/734724b9.JPG”></IMG>
B:<IMG SRC=”http://file.open.com.cn/Lms/ItemDBAttachments/image/singleselect/jiaoxuecd/20061020/657c3c54.JPG”></IMG>
C:<IMG SRC=”http://file.open.com.cn/Lms/ItemDBAttachments/image/singleselect/jiaoxuecd/20061020/1a3d332d.JPG”></IMG>
D:<IMG SRC=”http://file.open.com.cn/Lms/ItemDBAttachments/image/singleselect/jiaoxuecd/20061020/1ef3ee93.JPG”></IMG>

设A、B均为 阶矩阵(n>1),则下列命题正确的是
A:若AB=0,则A=0或B=0
B:r(A+B)= r(A)+ r(B)
C:<IMG SRC=”http://file.open.com.cn/Lms/ItemDBAttachments/image/singleselect/jiaoxuecd/20061124/04ea3455.JPG”></IMG>
D:<IMG SRC=”http://file.open.com.cn/Lms/ItemDBAttachments/image/singleselect/jiaoxuecd/20061124/d2b9c519.JPG”></IMG>

n阶实对称矩阵A和B相似的充分必要条件是
A:A与B都有n个线性无关的特征向量
B:r(A)= r(B)
C:A和B的主对角线上的元素的和相等
D:A和B的n个特征值都相等

<IMG SRC=”http://file.open.com.cn/Lms/ItemDBAttachments/image/singleselect/jiaoxuecd/20061124/7bc282b5.JPG”></IMG>
A:3
B:<IMG SRC=”http://file.open.com.cn/Lms/ItemDBAttachments/image/singleselect/jiaoxuecd/20061124/a9ca71dd.JPG”></IMG>
C:<IMG SRC=”http://file.open.com.cn/Lms/ItemDBAttachments/image/singleselect/jiaoxuecd/20061124/4e9a7319.JPG”></IMG>
D:-3

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A:<IMG SRC=”http://file.open.com.cn/Lms/ItemDBAttachments/image/singleselect/jiaoxuecd/20061124/b54308bd.JPG”></IMG>
B:<IMG SRC=”http://file.open.com.cn/Lms/ItemDBAttachments/image/singleselect/jiaoxuecd/20061124/b3284fda.JPG”></IMG>
C:A
D:-A

<IMG SRC=”http://file.open.com.cn/Lms/ItemDBAttachments/image/singleselect/jiaoxuecd/20061020/4be628b7.JPG”></IMG>
A:m
B:n
C:m-n
D:m+n

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A:有唯一解
B:无解
C:只有0解
D:.有无穷多解.

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A:正定
B:负定
C:不定
D:半正定

<IMG SRC=”http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/jiaoxuecd/20061123/a851c522.JPG”></IMG>
A:错误
B:正确

<IMG SRC=”http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/jiaoxuecd/20061020/b1849111.JPG”></IMG>
A:错误
B:正确

<IMG SRC=”http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/jiaoxuecd/20061020/1219930b.JPG”></IMG>
A:错误
B:正确

若A, B均为n阶对称矩阵,则A-B也是对称矩阵
A:错误
B:正确

<IMG SRC=”http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/jiaoxuecd/20061020/ce15ef6f.JPG”></IMG>
A:错误
B:正确

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