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**[SOLVED] Nilpotent matrices**

**1. Homework Statement**

Use the McLaurin series for 1/(1+x) to show that I + N is invertible where N is a nilpotent matrix.

**2. Homework Equations**

n/a

**3. The Attempt at a Solution**

It has something to do with the inverse of 1+x is 1/(1+x), but i'm lost. I'm not sure where to start nor what exactly I need to do.