# invertible matrices

• Sep 11th 2009, 03:25 PM
grandunification
invertible matrices
Let A be a square matrix.

Prove: If A^3 = 0 then I - A is invertible.
• Sep 11th 2009, 03:29 PM
siclar
Quote:

Originally Posted by grandunification
Let A be a square matrix.

Prove: If A^3 = 0 then I - A is invertible.

What is $(I-A)(I+A+A^2)$?
• Sep 11th 2009, 03:36 PM
grandunification
nice.