Consider the matrix A = 5 1 50 The inverse of A is a matrix A 1 C 1 11) -1 b 5 1 0 A-¹A=I. Multiply out 61 and equate corresponding entries to 5 0 come up with a system of 4 equations for the unknowns a, b, c and d. Then solve that system of unknowns using basic algebra. Use the values you obtain to write down the inverse matrix: A = set it equal to a [$] that satisfies
Consider the matrix A = 5 1 50 The inverse of A is a matrix A 1 C 1 11) -1 b 5 1 0 A-¹A=I. Multiply out 61 and equate corresponding entries to 5 0 come up with a system of 4 equations for the unknowns a, b, c and d. Then solve that system of unknowns using basic algebra. Use the values you obtain to write down the inverse matrix: A = set it equal to a [$] that satisfies
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
Section10.CR: Chapter 10 Review
Problem 9CR
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Question
![Consider the matrix A =
5
5
a
1
-1
b
с
The inverse of A is a matrix A
1
=
set it equal to
a b
cd
5
1
0
A-¹A=I. Multiply out
111₁
[1
and equate corresponding entries to
5
0
come up with a system of 4 equations for the unknowns a, b, c and d. Then solve that system of unknowns
using basic algebra. Use the values you obtain to write down the inverse matrix:
A
that satisfies](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3e8ca5a6-77b3-4f88-a5f3-282372d2c0e0%2Fee29687b-ecf7-4bed-9a53-7261e4cbc05e%2Fjwprbt_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the matrix A =
5
5
a
1
-1
b
с
The inverse of A is a matrix A
1
=
set it equal to
a b
cd
5
1
0
A-¹A=I. Multiply out
111₁
[1
and equate corresponding entries to
5
0
come up with a system of 4 equations for the unknowns a, b, c and d. Then solve that system of unknowns
using basic algebra. Use the values you obtain to write down the inverse matrix:
A
that satisfies
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