Linear transformation f:C∞(R) -> C∞(R)
a) I have to set up the eigenvalue-problem and solve it :
my solution : keλt
b) Now I have to find the dimension of the single eigen spaces and plot the graph for 3 different vectors from each eigen space when λ is
-5 and 0.
I'm having some problems with this part. I I've chosen k as 2, 5 and 13 and then I just plot them with the two different λ values :
k = 2
2e0t = 2
k = 5
5e0t = 5
k = 13
13e0t = 13
E-5 = ke-5t
But I don't know how to find the dimension of the single eigen spaces ?