Given square matrices A and B, I am required to find an expression for the multiplicative inverse of A * B and prove that it works.
I have taken the from a theorem in a textbook that states that A^-1 * B = I and CA^-1 = I. I feel as if I could also use the proof that if A is similar to B and B is similar to C then A is similar to C for this since the variables in that statement are present in my original guess for this. Am I on the right track here?