(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A square matrix A satisfies the matrix equation A^{3}-3A^{2}+7A-2I=0.

If A^{-1}exists, find an expression for A^{-1}in terms of A and I

2. Relevant equations

3. The attempt at a solution

I just multiplied the matrix equation by A^{-1}and then rearranged to get

2A^{-1}=3A-7I-A^{2}

Is it that easy? Or is there something that I am missing?

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# Homework Help: Matrices question

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