So far I've found the characteristic equation.

[Math] (t-1)^2(t+2) [/tex]

So the eigenvalues, are

And I know the jordan matrix is along these lines(below)

But I literally have

__NO__ clue on where the extra 1's should be.

I know a singular eigenvector towards T for sure, but I'm confused on -2, as the answer is totally different in my mark scheme :S!

so.....

For the last one i'm trying...

[Math](A-I)^2\begin{bmatrix}a&b&c\end{bmatrix}=\begin{bmatr ix}1&1&1\end{bmatrix}[/tex]

I also know

I know this is a bit scrappy but could anybody help me on the bits i'm struggling with..

1) Finding a second eigenvector for t=1, making sure my t=-2 eigenvector is correct.

2) Explaining how you decide how many, and where to put the 1's in a jordan matrix.

Thank you