- #1

Nusc

- 760

- 2

## Homework Statement

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

## Homework Equations

## 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?