In Problems 5-10, find the inverse matrix for each matrix that has an inverse. 2 4 6. 4. 7. 1 9. -4

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.5: Subspaces, Basis, Dimension, And Rank
Problem 63EQ
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#5
EXERCISES 3.4
1. If A is a 3 X 3 matrix and B is its inverse, what does the
product AB equal?
In Prot
check i
2.
-4
12
6.
-12
and
11 A
2. If C =
1
-2
3
4
1
1
-4
are C and D inverse matrices?
1
13.
1
-2
1
1
0.
3. If A =
3
and B =
In
1
.0 odoes B = A-1?
1
1
-2
1
4. If D =
sm up3 | and C =-
3
3
3
1
-1
2
does C = D-l?
In Problems 5-10, find the inverse matrix for each matrix
that has an inverse.
4
4
6.
7.
9.
-4
12
8.
9.
10.
4
-1
O -3
Transcribed Image Text:EXERCISES 3.4 1. If A is a 3 X 3 matrix and B is its inverse, what does the product AB equal? In Prot check i 2. -4 12 6. -12 and 11 A 2. If C = 1 -2 3 4 1 1 -4 are C and D inverse matrices? 1 13. 1 -2 1 1 0. 3. If A = 3 and B = In 1 .0 odoes B = A-1? 1 1 -2 1 4. If D = sm up3 | and C =- 3 3 3 1 -1 2 does C = D-l? In Problems 5-10, find the inverse matrix for each matrix that has an inverse. 4 4 6. 7. 9. -4 12 8. 9. 10. 4 -1 O -3
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