Lineal Algebra Please provide a well explained solution for the following.  how to find the powers of A (where the exponent is zero, positive or negative)? Plus, please list the properties involving the inverse of A

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 20RE
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3.e

Lineal Algebra

Please provide a well explained solution for the following. 

how to find the powers of A (where the exponent is zero, positive or negative)?

Plus, please list the properties involving the inverse of A

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