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**1. Homework Statement**

Show that if B is a square matrix that satisfies the equation

B^2 - 2B + I = 0

then

B^-1 = 2I - B

**2. Homework Equations**

**3. The Attempt at a Solution**

I've never before done a proof involving actual unknown matrices. Basically i know what a square matrix is (n x n matrix) im also pretty sure that I is the identity matrix. Ive tried algebraic operations on the equations to make them equal, however im rusty on what can and cant be done with matrices. Any help even a starting location will be much appreciated