[2 -1 B = 1 -1] find If A = [3 0] |2 3 (а) А' B' (с) (AB)' (d) B'A'

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.2: Multiplicative Inverses
Problem 42PS
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Question
1 -1
find
2 -1
7.
If A =
B =
(a)
A'
(b)
B'
(c)
(AB)'
(d)
B'A'
(e)
A O B
8.
Find the inverse of the following.
[2 1
A =
(a)
3 2
0 -1
(b)
B =
3
1
C =
-1
(c)
3
9.
Determine if the following matrices have an inverse. If yes, find the inverse.
[3
A =
4
(а)
2 -5
4 10
B =
(b)
2 5
-1
C =
1
(c)
-1
0 -3 17
(d)
D =
4 -1 0
10. Find the trace of the following:
4 0
B =
7 5
6.
A =
C =
11 -3
D =
-1 5
1 -2
0 1
[10
11
.25 -.25
E =
16
-5.7 1.6
F =
G =
-1 3 2
H =-2
3
-1
8
3.2
2
2 8 3
-25 4
Transcribed Image Text:1 -1 find 2 -1 7. If A = B = (a) A' (b) B' (c) (AB)' (d) B'A' (e) A O B 8. Find the inverse of the following. [2 1 A = (a) 3 2 0 -1 (b) B = 3 1 C = -1 (c) 3 9. Determine if the following matrices have an inverse. If yes, find the inverse. [3 A = 4 (а) 2 -5 4 10 B = (b) 2 5 -1 C = 1 (c) -1 0 -3 17 (d) D = 4 -1 0 10. Find the trace of the following: 4 0 B = 7 5 6. A = C = 11 -3 D = -1 5 1 -2 0 1 [10 11 .25 -.25 E = 16 -5.7 1.6 F = G = -1 3 2 H =-2 3 -1 8 3.2 2 2 8 3 -25 4
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