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 and Trigonometry (MindTap Course List)
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ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
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ChapterP: Prerequisites
SectionP.CR: Chapter Review
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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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