Find the inverse of the following matrix: [1 6 |1 7

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.CR: Chapter Review
Problem 39E: Find the inverse of each matrix, if possible. [2335]
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Find the inverse of the following matrix:

 
[1 6]
[1 7]
Find the inverse of the following matrix:
[1 6
|1 7
Transcribed Image Text:Find the inverse of the following matrix: [1 6 |1 7
Expert Solution
Step 1

The inverse of the matrix A is given by,

adj4
A
(cofactor A)
Step 2

Let the matrix A is given by,

1 6
A =
1 7
7
cofactorA
-6
7
-6
(cofactor4)
7
-6
So, adj4
1
1 6
and,|A
7
|A 7-6 1
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