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Homework Statement
A square matrix A satisfies the matrix equation A3-3A2+7A-2I=0.
If A-1 exists, find an expression for A-1 in terms of A and I
Homework Equations
The Attempt at a Solution
I just multiplied the matrix equation by A-1 and then rearranged to get
2A-1 =3A-7I-A2
Is it that easy? Or is there something that I am missing?