This might be in the wrong forum

But it is from a DE class

Suppose that A is a matrix whose characteristic polynomial is

$$(\lambda-2)^2(\lambda+1)^2$$

find all possible Jordan Normal Forms of A (up to permutation of the Jordan blocks).

ok i have been looking at examples so pretty fuzzy on this

for the roots are 2 and -1

so my first stab at this is

$\left[\begin{array}{c} -1 & 0 & 0 & 0 \\ 0 & -1 & 0 & 0 \\ 0 & 0 & 2 & 0 \\ 0 & 0 & 0 &2 \end{array}\right]$