Answered: Find the inverse of the given matrix,…

Math

Algebra

Find the inverse of the given matrix, if it exists. 1 -2 1 A= 5 -9 4 2 - 5 3.

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 6E

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Question

How do I solve the first image? I do not understand the absolute value step of solving this question |A|. I don't know what it does, or why we do it. Please explain it to me. To illustrate what I mean I have sent you another image portraying the absolute value step...

Thank you :)

Step 1: Calculate |A|
|1 0 0
|A| = |3 3
15 2 -1
13 3
5 21
= 1(-3 – 0) + 0 + 0 = -3
Since |A| # 0,A-1exists

Find the inverse of the given matrix, if it exists.
1 - 2
1
A = 5 -9
4
2 - 5
3.

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