1. The problem statement, all variables and given/known data Let A be an n x n matrix. Show that if A2=0 then I - A is non-singular and (I - A)-1= I + A 2. Relevant equations 3. The attempt at a solution Ok, so I started off with finding the general form of a 2x2 matrix which when squared gives a zero matrix, and all the properties above are satisfied. But how do I show that for an n x n matrix? Please help me out.