(2,1) isn't an eigenvector. A(2,1) = (3,-3), which is not in span{(2,1)}. i am confused.
Hi, I have the problem below and I don't know how to solve it... What property do symmetric matrices have that would allow me to solve it without any calculation? Thanks a lot!
So here is the problem:
Find an eigenvector for A (no calculation should be required: note that A is a symmetric matrix).
A =
[1, 1]
[1, -5]
and the eigenvector given is
[2]
[1]