I am stuck on this question, because I do not know any properties for square matrices when you multiply them together. I'm not sure what the question is asking, so any insight would be helpful :)
Suppose that B is an m by m matrix that satisfies the following equation:
B^5 + B^3 + B^2 = I (identity matrix)
Find an expression for B inverse in terms of B.
Is there a rule for square matrices when you multiply them by themselves?