- #1
ephemeral1
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Homework Statement
Prove: If A is an invertible matrix and k is a positive integer, then
(A^k)^-1 = (A^-1)(A^-1) ...A^-1=(A^-1)^k
Homework Equations
none
The Attempt at a Solution
I have a hard time proving this. How do I go about doing this? Any help would be great. I really want to understand this. Thank you.