- #1
DWill
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Homework Statement
For the matrix A =
-1, 5
-2, -3
I found the eigenvalues to be -2 + 3i and -2 - 3i.
Now I need some help to find the eigenvectors corresponding to each.
Homework Equations
The Attempt at a Solution
For r = -2 + 3i, I plugged that into the (A - Ir) matrix, which I found to be
1-3i, 5
-2, -1-3i
I multiply that matrix with the vector (x y) and set it equal to (0 0) right? If I do that I get the following 2 equations:
(1-3i)x + 5y = 0
-2x - (-1-3i)y = 0
Did I make a mistake somewhere, or how should I go on to find the eigenvector? Thanks!