《工程数学基础(Ⅰ)2342》18春在线作业2-0001

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A:正定
B:负定
C:不定
D:半正定

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A:<IMG SRC=”http://file.open.com.cn/Lms/ItemDBAttachments/image/singleselect/jiaoxuecd/20061124/a1dd2045.JPG”></IMG>
B:<IMG SRC=”http://file.open.com.cn/Lms/ItemDBAttachments/image/singleselect/jiaoxuecd/20061124/8766be12.JPG”></IMG>
C:<IMG SRC=”http://file.open.com.cn/Lms/ItemDBAttachments/image/singleselect/jiaoxuecd/20061124/cb061ff3.JPG”></IMG>
D:<IMG SRC=”http://file.open.com.cn/Lms/ItemDBAttachments/image/singleselect/jiaoxuecd/20061124/713679c2.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

<IMG SRC=”http://file.open.com.cn/Lms/ItemDBAttachments/image/singleselect/jiaoxuecd/20061020/3ea34fce.JPG”></IMG>
A:k= 0
B:k= -1
C:k= 2
D:k= -2

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A:4
B:-4
C:-6
D:6

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>

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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:B
B:1+B
C:I+B
D:<IMG SRC=”http://file.open.com.cn/Lms/ItemDBAttachments/image/singleselect/jiaoxuecd/20061020/2f61224f.JPG”></IMG>

<IMG SRC=”http://file.open.com.cn/Lms/ItemDBAttachments/image/singleselect/jiaoxuecd/20061124/71c6850a.JPG”></IMG>
A:0
B:1
C:<IMG SRC=”http://file.open.com.cn/Lms/ItemDBAttachments/image/singleselect/jiaoxuecd/20061124/f610bacb.JPG”></IMG>
D:0或1

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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>

<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

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

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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/20061124/074224b8.JPG”></IMG>
A:b=1`
B:b=-1
C:b=2
D:b=-2

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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

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A:0,1,2
B:1,2,3
C:1,1,2
D:1,2,2

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A:0
B:0或-1
C:-1
D:-1或1

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>

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A:53
B:12
C:-26
D:15

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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

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A:错误
B:正确

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A:错误
B:正确

设A,B,C,D都是n阶方阵，且ABCD＝E，则一定有CDAB＝E
A:错误
B:正确