So far I've found the characteristic equation.
[tex] (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!
For the last one i'm trying...
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.