Find the inverse of the given matrix, if it exists: A = - OA is not invertible. O A-¹ = O A-¹ A-¹ || SANG [-1 0 0 -1 -1 0 [-1 -1 -1] C -2 1 0 0 1 1 0 [1 1 1] 0 1 1 0 0 1 [1 A-¹ = 0 -1 1 1 -1 0 1 -1 1 0 07 1 0 1 1]

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Find the inverse of the given matrix, if it exists: A
OA is not invertible.
A-¹
A-¹ =
-1 0 0
-1 -1 0
1
-2
-1 -1]
0
1 0
-1 1
[111]
A-¹ 0 1 1
0
0 1
[1 -1 1
A-¹ 0 1 -1
0 0
1
www.
1
-1
1
0 0
1 0
1 1]
Transcribed Image Text:Find the inverse of the given matrix, if it exists: A OA is not invertible. A-¹ A-¹ = -1 0 0 -1 -1 0 1 -2 -1 -1] 0 1 0 -1 1 [111] A-¹ 0 1 1 0 0 1 [1 -1 1 A-¹ 0 1 -1 0 0 1 www. 1 -1 1 0 0 1 0 1 1]
Expert Solution
Step 1: Formula for inverse of a matrix

Given,  A equals open square brackets table row 1 0 0 row cell negative 1 end cell 1 0 row 1 1 1 end table close square brackets.

We know, A to the power of negative 1 end exponent equals fraction numerator 1 over denominator d e t left parenthesis A right parenthesis end fraction cross times a d j left parenthesis A right parenthesis

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