Use the fact that if A = a b 1 d -b then A-1 to find the inverse of the given matrix, if possible. Check that c d ad - bc - C a - 1 AA = 12 and A'A=12. 11 A = 1 4 --..- Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A-1 O A. (Type an integer or a simplified fraction for each matrix element.) B. The matrix does not have an inverse.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.3: Matrix Algebra
Problem 86E
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12-7

a b
1
d -b
- 1
Use the fact that if A =
then A
to find the inverse of the given matrix, if possible. Check that
ad - bc
c d
- c
a
- 1
AA
= l2 and A'A= 12.
11
A =
1 4
--..-
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A-1
O A.
(Type an integer or a simplified fraction for each matrix element.)
O B. The matrix does not have an inverse.
Transcribed Image Text:a b 1 d -b - 1 Use the fact that if A = then A to find the inverse of the given matrix, if possible. Check that ad - bc c d - c a - 1 AA = l2 and A'A= 12. 11 A = 1 4 --..- Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A-1 O A. (Type an integer or a simplified fraction for each matrix element.) O B. The matrix does not have an inverse.
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