1. The problem statement, all variables and given/known data From AB=C find a formula for A^-1. Also, from PA=LU find A^-1 3. The attempt at a solution My answers were (A^-1)=(C^-1)(B) and (L^-1)(U^-1)(P)=(A^-1). The answers in the back of the book are (A^-1)=(B)(C^-1) and (A^-1)=(U^-1)(L^-1)(P) Would I say that my canceling of matrices is wrong? Would I call what I am trying to do 'cancelling matrices'? What should I be considering when trying to carry out operations such as these?