Hi everyone,

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?