Find two nilpotent 2 by 2 matrices such that their sum is not nilpotent.

I have been trying a few matrices but none are working, is there a more logical, easier way to find these matrices? thanks.

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- Nov 8th 2008, 12:57 PMtttcomraderFind nilpotent
Find two nilpotent 2 by 2 matrices such that their sum is not nilpotent.

I have been trying a few matrices but none are working, is there a more logical, easier way to find these matrices? thanks. - Nov 8th 2008, 01:03 PMclic-clac
01 00

00 10

are nilpotent, but their sum,

01

10

is inversible so it is not nilpotent :) - Nov 8th 2008, 05:50 PMtttcomrader
So inversible means no nilpotent? How so? Thanks.

- Nov 8th 2008, 06:10 PMThePerfectHacker
- Jan 27th 2009, 08:22 AMarbolis