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Chapter 1 Systems of Linear Equations unit test 1
1、 
A:
B:
C:
D:
答案:
2、
In the following matrices, ( ) is not elementary matrix.
A:
B:
C:
D:
答案:
3、 
A:
the elementary row operation of interchanging
the first and second rows.
B:
the elementary row operation of interchanging
the second and third rows.
C:
the elementary column operation of interchanging the first and second columns.
D:
the elementary column operation of interchanging the second and third columns.
答案:
the elementary row operation of interchanging
the second and third rows.
</span>
4、
If <img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_99f13d3f-ff14-479b-8fe7-a1e9ab6b71b4.png" /> is nonsingular, then <img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_99f13d3f-ff14-479b-8fe7-a1e9ab6b71b4.png" style="font-family: LMRoman17-Regular-Identity-H; font-size: 22.6667px; white-space: normal;" /> can be factored into a
product of elementary matrices.
A:正确
B:错误
答案: 正确
5、
If A is a 3×3 matrix and a1 +2a2 −a3 = 0, then A must be singular.
A:正确
B:错误
答案: 正确
6、
If A and B are n×n matrices, then (A-B)2 = A2 −2AB+B2.
A:正确
B:错误
答案: 正确
7、
Use back substitution to solve the following systems
of equations:
答案: x1 = 4
x2 = 1
x3 = 3
8、
<img src="http://edu-image.nosdn.127.net/4638CED1EB2BD4AFE3F7099CDDA3BCF6.jpg?imageView&thumbnail=890x0&quality=100" />
答案: – 2/3
9、 
答案: 5 -10 15
5 -1 4
8 -9 6
10、 
答案: 1 2 -3
-1 1 -1
0 -2 3
Chapter 2 Determinants unit test 2
1、 
A:1
B:6
C:-6
D:0
答案: -6
2、
Let A be a n×n matrix, then ( )
A:
AAT =ATA.
B:
det(AAT ) = det(AT A).
C:
if det(A) = 0, then A is invertible.
D:
if det(A) = 0, then AT is invertible.
答案:
det(AAT ) = det(AT A).</span>
3、 
A:
B:
C:
D:
答案:
4、
det(A+B)=det(A)+det(B).
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