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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 [tex] R_1[x] [/tex] i.e. the space of linear functions (a+bx) find the jordan form of the follwoing matrix

[tex] T(a+bx)=2a+b+bx [/tex]

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

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# Homework Help: Jordan form question

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