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Homework Statement
Let A and B be two square matrices of order n such that AB = A and BA = B. Then, what is the value of [(A + B)t]2?
Homework Equations
The Attempt at a Solution
[(A + B)t]2 = AtAt + AtBt + BtAt + BtBt.
I tried to use the fact that AB = A and BA = B to keep going but I didn't succeed at it..