I was given a 3×3 matrix and I was given a complex Eigenvalue of -2+6i. They also gave me the eigenvector
[-6-2i]
[1]
[9i].
I have to find another eigenvector and eigenvalue that isn't given.
I attempted to use the formula Ax=lamdax. I was trying to solve for A with x being the eigenvector and lamda being -2+6i. That doesn't give me a matrix though. I'm lost.
Best Answer
Like Hyperion said, the new eigenvalue is -2-6i, so the eigenvector is -6+2i,1,-9i