Urgent help needed on the following question on matrices in linear algebra:

Let A be an nxn square matrix such that A^2=0. Show that I+A is invertible and that (I+A)^-1=I-A.

(Where I is the identity matrix).

thanks

Printable View

- Nov 13th 2007, 07:33 AMsmilerlinear algebra inverses
Urgent help needed on the following question on matrices in linear algebra:

Let A be an nxn square matrix such that A^2=0. Show that I+A is invertible and that (I+A)^-1=I-A.

(Where I is the identity matrix).

thanks - Nov 13th 2007, 07:50 AMThePerfectHacker