2 0 11. If A = then AB equals: 6. and B = L-5 3 -8 -2 8 -2] T-8 -23] E. A. С. - 23 13 23 13 [-2 13 -27 -2 -8 D. 13 - 23 [10 6] 8 В. - 23 22 _ 12. The determinant of matrix A = denoted det A, is: C. 63 D. 70 [7 31 A. 16 E. 90 B. 42 13. The inverse of the matrix C = is: -7 -3 А. -2 -1 -3] 3 E. 7. 1 1 C. 2 -7 2] В. 3. -1 D. 3. -1 14. Let A = |-5 8] and B = [9 -4]. Find A + B. C. [-14 12] D. [-9 17] %3D A. [3 s] B. [4 4] x+5 3y +2] 2z +4 w+1 E. [-12 14] 2x + 3 y -4 15. If C = and D = find w, x, y, and z z+1 2w -3 3]' respectively given that C = D. A. 4, 2, -3, -3 B. 2, 4, -3, -3 C. 4, -3, 2, -3 D. -3, -3, 2, 4 E. 2, -3, 4, -3, _16. Compute the matrix product E F if E= and F =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Related questions
Question
-2 0
4
and B=
,then AB equals:
-11. If A =
-1 6
-2"
|-5 3
-2
-8
A.
- 23 13
С.
|23 13
E.
-2 13
-2
-2
D.
13 - 23
[10 67
9 7
C. 63
8
В.
- 23 22
-8
12. The determinant of matrix A =
denoted det A, is:
A. 16
В. 42
E. 90
D. 70
13. The inverse of the matrix C =
is:
21
-3
-7
A.
-2
C.
- 2
-1
7
[-1
D.
2
2
-7
В.
3
3
-1
-7
14. Let A = |-5 8] and B = [9 -4]. Find A + B.
A. [3 s]
B. [4 4]
c. [-14 12]
D. [-9 17]
E. [-12 14]
x+5 3y +2
2z + 4
Г2х + 3 у-4
z+1 2w-
- 15. If C =
and D =
find w, x, y, and z
I+A
respectively given that C = D.
С.4, -3, 2, -3
D. -3, -3, 2, 4
A. 4, 2, -3, -3
B. 2, 4, -3, -3
Е. 2, -3,4, -3,
Го
_16. Compute the matrix product E F if E=
and F=
-1
-2
A.
-7
С.
-9
E.
-1
-9
21
-8
В.
4
D.
- 4
3
_17. If G is a 3 x1 matrix while H is a 1 x 3 matrix then
A. GH is 3 x 3, HG is 1 x 1.
B. GH is 1 x 1, HG is 3 x 3.
C. GH is 3 x 3, HG is undefined.
D. GH is 1x 3, HG is undefined.
E. GH is undefined, HG is 1 x 1.
- 18. What is the inverse of I = 2 1 1
2 3
[11 1]
1 1
С. 2 1 1
2 2
A. I-1 does not exist.
E.
3
-1
- 1
-1
-1
В.
-2 -1 -1
D.
4
-1
-2 -2 -3
- 2
1
3 -7
_19. Compute for the determinant of J = 0
|0
4
-1
A. -81
B. -45
C.-18
D. 18
E. 9
20. Which of the following matrices has a determinant of 1?
11 1
E. 111
1 1
В
D.
Transcribed Image Text:-2 0 4 and B= ,then AB equals: -11. If A = -1 6 -2" |-5 3 -2 -8 A. - 23 13 С. |23 13 E. -2 13 -2 -2 D. 13 - 23 [10 67 9 7 C. 63 8 В. - 23 22 -8 12. The determinant of matrix A = denoted det A, is: A. 16 В. 42 E. 90 D. 70 13. The inverse of the matrix C = is: 21 -3 -7 A. -2 C. - 2 -1 7 [-1 D. 2 2 -7 В. 3 3 -1 -7 14. Let A = |-5 8] and B = [9 -4]. Find A + B. A. [3 s] B. [4 4] c. [-14 12] D. [-9 17] E. [-12 14] x+5 3y +2 2z + 4 Г2х + 3 у-4 z+1 2w- - 15. If C = and D = find w, x, y, and z I+A respectively given that C = D. С.4, -3, 2, -3 D. -3, -3, 2, 4 A. 4, 2, -3, -3 B. 2, 4, -3, -3 Е. 2, -3,4, -3, Го _16. Compute the matrix product E F if E= and F= -1 -2 A. -7 С. -9 E. -1 -9 21 -8 В. 4 D. - 4 3 _17. If G is a 3 x1 matrix while H is a 1 x 3 matrix then A. GH is 3 x 3, HG is 1 x 1. B. GH is 1 x 1, HG is 3 x 3. C. GH is 3 x 3, HG is undefined. D. GH is 1x 3, HG is undefined. E. GH is undefined, HG is 1 x 1. - 18. What is the inverse of I = 2 1 1 2 3 [11 1] 1 1 С. 2 1 1 2 2 A. I-1 does not exist. E. 3 -1 - 1 -1 -1 В. -2 -1 -1 D. 4 -1 -2 -2 -3 - 2 1 3 -7 _19. Compute for the determinant of J = 0 |0 4 -1 A. -81 B. -45 C.-18 D. 18 E. 9 20. Which of the following matrices has a determinant of 1? 11 1 E. 111 1 1 В D.
1. Tind the inverse of the tollowing matricer, f they exist.
a.1 1
2.
1.
b.12
-1 1
-1
4
C-
3
4.
Transcribed Image Text:1. Tind the inverse of the tollowing matricer, f they exist. a.1 1 2. 1. b.12 -1 1 -1 4 C- 3 4.
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