1. The problem statement, all variables and given/known data Let A be a square matrix such that I-A is nonsingular. Prove that A * (I-a)^-1 = (I-A)^-1 * A 2. Relevant equations Now I think that A^-1 * A = A*A^-1 = I and I*A = A*I are relevant for this. 3. The attempt at a solution I tried to express (I-a)^-1 in respect to I without having an inversion in it. but somehow I can't get it to work. Any ideas?