Please help me learn eigenvectors!! I've looked everywhere for how to solve this and cannot get it!

Question

anonymous · Answer

attachment

anonymous · Answer

which part are you at?

terenzreignz · Answer

It seems like you've already gotten the eigen-part down :\

anonymous · Answer

part b, the -3 and -5 answers are correct

anonymous · Answer

haha i thought i might have, so what is it i'm trying to do with the system of equations?

anonymous · Answer

well you setup the matrix and then you solve for the eigenvalues $\lambda$

anonymous · Answer

I already got the eigenvalues apparently, so what I need to do is part b, and I dont even know where to begin for that....

anonymous · Answer

sorry I overlooked that, well in this case the solution to your differential equation will have the form of that:

|dw:1364430852234:dw|