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**[SOLVED] Nilpotent matrices**

## Homework Statement

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

## Homework Equations

n/a

## 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.