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angelz429
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[SOLVED] Nilpotent matrices
Use the McLaurin series for 1/(1+x) to show that I + N is invertible where N is a nilpotent matrix.
n/a
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.
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.