(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Prove that any square triangular matrix with each diagonal entry equal to zero is nilpotent

3. The attempt at a solution

Drawing out the matrix and multiplying seems a little tedious. Perhaps there is a better way?

Is there another way to do this without assuming that the eigenvalues of a nilpotent operator are all 0?

Thanks for your help!

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Nilpotent operators, matrix

**Physics Forums | Science Articles, Homework Help, Discussion**