- #1

MichalKol

- 8

- 0

## Homework Statement

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

B^2 - 2B + I = 0

then

B^-1 = 2I - B

## Homework Equations

## 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) I am also pretty sure that I is the identity matrix. I've tried algebraic operations on the equations to make them equal, however I am rusty on what can and can't be done with matrices. Any help even a starting location will be much appreciated