1 0 1. This matrix | 6 8 0 is said to be a/ an: 9 0 -4 A. diagonal matrix B. identity matrix C. lower triangular matrix D. upper triangular matrix x 6 Given the matrix A= 2 3 2. what is the value of x if A is a singular matrix? А. 1 В. 3 С. 4 D. 8 1 2 3 3. Consider the matrix A = 4 1 5.What is 1 7 5 the cofactor of the element a,, ? A. - 44 В. — 11 С. 11 D. 44

Elementary Linear Algebra (MindTap Course List)
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Chapter5: Inner Product Spaces
Section5.CM: Cumulative Review
Problem 3CM: Take this test to review the material in Chapters 4 and 5. After you are finished, check your work...
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Instruction: Highlight the correct answer
1 0
5. The result of the following matrix product
1. This matrix 6 8
0 is said to be al an:
-3 1
0 2
is:
9 0 -4
1
3 4 1
4 -5
A. diagonal matrix
B. identity matrix
C. lower triangular matrix
А.
12
5
13
D. upper triangular matrix
В.
-6 1
2
С.
4 3
2. Given the matrix A=
6.
what is the
2 3
2
D.
13
value of x if A is a singular matrix?
А. 1
В. 3
С. 4
-6 7
D. 8
6. The following system of equations is written in
the form AX=B:
x- 4y =-2
3x+y=0
1
2 3
3. Consider the matrix A = 4 1
5 |. What is
Which of the following matrices correctly
17 5
represents matrix A?
the cofactor of the element a,, ?
-4 -2
A.
1
А. — 44
В.
11
С. 11
D. 44
В.
3
С.
4. Which of the following is FALSE with respect
1 -4
-2 4
to a matrix
-2
D.
3 0
1
7
А. ВВ1 —1
B. B'I = B1
C. B exist if B is a singular matrix
D. B exist if B is a non-singular matrix
-1
2
Transcribed Image Text:Instruction: Highlight the correct answer 1 0 5. The result of the following matrix product 1. This matrix 6 8 0 is said to be al an: -3 1 0 2 is: 9 0 -4 1 3 4 1 4 -5 A. diagonal matrix B. identity matrix C. lower triangular matrix А. 12 5 13 D. upper triangular matrix В. -6 1 2 С. 4 3 2. Given the matrix A= 6. what is the 2 3 2 D. 13 value of x if A is a singular matrix? А. 1 В. 3 С. 4 -6 7 D. 8 6. The following system of equations is written in the form AX=B: x- 4y =-2 3x+y=0 1 2 3 3. Consider the matrix A = 4 1 5 |. What is Which of the following matrices correctly 17 5 represents matrix A? the cofactor of the element a,, ? -4 -2 A. 1 А. — 44 В. 11 С. 11 D. 44 В. 3 С. 4. Which of the following is FALSE with respect 1 -4 -2 4 to a matrix -2 D. 3 0 1 7 А. ВВ1 —1 B. B'I = B1 C. B exist if B is a singular matrix D. B exist if B is a non-singular matrix -1 2
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