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

If S is a lower triangular matrix (n by n), S^n is the zero matrix.

2. Relevant equations

3. The attempt at a solution

S =

0 0 0 0 ... 0

1 0 0 0 ... 0

0 1 0 0 ... 0

0 0 1 0 ... 0

...

0 0 0 0 .1.0

S^2 =

0 0 0 0 ... 0

0 0 0 0 ... 0

1 0 0 0 ... 0

0 1 0 0 ... 0

...

0 0 0 0 1.. 0

How do I show this using induction?

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# Homework Help: Matrix Operation

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