A = A-1 = - 0 0 Ex: 5 0 -1/2 0 0 0 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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Question
A =
A-1
=
-1/
0
0
Ex: 5
0
-
0
0
0
Transcribed Image Text:A = A-1 = -1/ 0 0 Ex: 5 0 - 0 0 0
Expert Solution
Step 1: Define the expression for the inverse of the matrix:

A to the power of negative 1 end exponent equals fraction numerator C to the power of T over denominator d e t open parentheses A close parentheses end fraction

Where C to the power of T is the transpose matrix of the cofactor.

The expression for the cofactors is:

C subscript i j end subscript equals open parentheses negative 1 close parentheses to the power of i plus j end exponent M subscript i j end subscript

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