# Jordan Normal Forms

• December 10th 2013, 05:59 AM
Matt1993
Jordan Normal Forms
I am trying to revise for a test and i cannot get this question. And i have know idea where to start.

Question
Find the JNF for the matrix of the linear transformation T: P2 --> P2 given by T(p(x)) = p(x+1)

Thankss any help is appreciated. I not great at JNF
• December 10th 2013, 09:22 PM
chiro
Re: Jordan Normal Forms
Hey Matt1993.

Just out of curiosity, what is the space P2?
• December 10th 2013, 09:32 PM
romsek
Re: Jordan Normal Forms
I'm gonna guess that's the space of 2nd order polynomials
• December 10th 2013, 10:00 PM
romsek
Re: Jordan Normal Forms
Quote:

Originally Posted by Matt1993
I am trying to revise for a test and i cannot get this question. And i have know idea where to start.

Question
Find the JNF for the matrix of the linear transformation T: P2 --> P2 given by T(p(x)) = p(x+1)

Thankss any help is appreciated. I not great at JNF

$T(p) =\left(\begin{array}{ccc}1 & 1 & 1\\0 & 1 & 2\\0 & 0 & 1\end{array}\right)$