- #1

chuckles1176

- 3

- 0

## Homework Statement

find all Jordan forms of 8x8 matrices given the minimal polynomial x^2*(x-1)^3

## Homework Equations

## The Attempt at a Solution

The roots are clearly 0,1 and 0 has degree 2 while 1 has degree 3. The forms would be made up of the blocks [0,0;1,0] corresponding to 0 and [1,0,0;1,1,0;0,1,1] corresponding to 1.

So all possible 8x8 forms would be different combinations of the blocks such that they are always both included at least once and dimension 1 blocks being either of the roots such that the overall dimension of the blocks is 8.

-I am not convinced this is the solution because of the geometric multiplicities of 1 and 0 would affect the entries next to the main diagonals...I'm just not sure how if at all.