So I'm trying to solve this sample question because I'll be required to solve a similar one for an assignment but I'm not sure how to go about it.

I know that A(^2) is (11, 28 ; 4, 11) and A(^4) is (233, 616 ; 88, 233)but I'm not sure how to find m and n, can anyone help? I don't even know if I can add a constant to a matrix.

I'm more interested in how the question is done than the answer so a step by step would be appreciated!