Eigenvalues and eigenvectors - help
I was reading my lecture notes on using matrices to solve ODEs and came
across this and am having trouble understanding it:
(Please note that the two eigen values that are calculated are 2 and 0
respectively).
I have tried checking the solution and all I am coming up with is a=b (I
did this by solving simultaneously. a+b=2a and a+b=2b. I don't understand
how the solution v=(1,1)^T comes from. In addition I also do not
understand where the solution for the second eigenvalue (0) comes from
either.
Please could some one kindly help me understand this. Thank You
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