Where A = a 2*2 matrix, is the following true:
(A^n)(A^m) = (A^m)(A^n)
Thanks in advance
Take a guess. Tell us why it might be true.
Well I think it would be true, however I know that matrix multiplication is non-commutative so I wasnt sure.
Matrix multiplication isn't commutative in general. But this is special. It IS associative. Both sides of that equation have n+m A's. They are just grouped differently.
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