# Jordan form Question

1. Apr 12, 2010

### talolard

1. The problem statement, all variables and given/known data

find the jordan form of:
$$0 1 0 ... 0$$
$$0 0 1 ... 0$$
$$0 0 0 \ddots$$
$$0 0 0 ... 1$$
$$1 0 0 ... 0$$

2. Relevant equations
Hint: prove that A^n=ID and then blah blah blah.

3. The attempt at a solution
I assumed that A^n = ID and then i could solve it. i have no idea how to prove that A^n=ID. any help on that would be great.

Last edited: Apr 12, 2010
2. Apr 12, 2010

### lanedance

i'm assuming A is your matrix?

consider any nxn matrix, say B and consider the results of the multiplcation B.A on the columns of B...