# Homework Help: Jordan form question

1. Jun 6, 2010

### talolard

1. The problem statement, all variables and given/known data
The question si to find the jordan form of the following, I think it is diagnizable and am wondering if i am misunderstanding something or if diagnizable is a subccase of jordan form:
Anyway
Given the vector space $$R_1[x]$$ i.e. the space of linear functions (a+bx) find the jordan form of the follwoing matrix
$$T(a+bx)=2a+b+bx$$
I thinbk the matrix of T is
[2 1]
[0 1]
Which means it has eigenvalues 2 and 1 with eigenvectors {1,0}. {1,-1}
Is that correct or did I misunderstadn something?
Thanks
Tal

2. Relevant equations

3. The attempt at a solution

2. Jun 6, 2010

### Staff: Mentor

Everything looks fine, Tal. If you write P using your eigenvectors as columns, and find P-1, P-1AP is a diagonal matrix.

3. Jun 6, 2010

Thanks Mark