Hello,
I am stuck on the following problem:
If p is a nonnegative integer and c is a scalar, show that
(cA)^p = c^p A^p
Here is what I have started:
\textrm{Let } A=[a_{ij}] \textrm{ be any } n \times n matrix. Then
(cA)^p=([ca_{ij}])^p
Where could I go from here? Is this a good first...