Find the inverse, if it exists, for the given matrix. 2 0 5 0 -1 0 3 3 7
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 5E
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Question
Find the inverse, if it exists, for the given matrix.
2 | 0 | 5 |
0 | -1 | 0 |
3 | 3 | 7 |
Expert Solution
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Step 1
According to the given information it is required to calculate the inverse of the given matrix.
Step 2
Inverse of a matrix exist if and only if determinant is non zero.
So, first find the determinant of the matrix A.
Step 3
Now, find the A-1.
consider the augmented matrix:
Step 4
Now, convert the matrix into identity by doing the operations:
Step by step
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