I have no clue on how to do this problem because I missed the class where he covered this so could someone please walk me through it.
A = [2 2 -5; 2 7 2; -5 -15 -4] where ; means new column
p(x) = (x-3)(x-1)^2
1) what are the choices of m(x)
2) find the minimum polynomial
3) find the jordan canonical form
d) find P s.t. P^(-1)AP
The Attempt at a Solution
1)m(x) = (x-3)(x-1)^2
and m(x) = (x-3)(x-1)
2) no clue.. m(x) = (x-3)(x-1)?
do i have to plug in A for x or something?
3) no clue
4) no clue
I'm really sorry for this half a**ed attempt but I really do not have any material on this stuff. I tried researching the minimum polynomial problem but none of the examples are similar to mine. I just need a push in the right direction please