- #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