00:01
Here, we're given a vector, or an eigenvalue, of 8 plus 6i, that has a corresponding eigenvector of negative 7 minus i, 1, and 3i.
00:14
Now, when it comes to eigenvalues, they always come in pairs, complex pairs.
00:19
So, if we have one eigenvalue, then the eigenvalue that's the complex conjugate, which would be 8 minus 6i, is also an eigenvalue.
00:30
And to get the complex conjugate, all you have to do is just change the sign on the complex portion.
00:37
So if i look at the eigenvector now, where we have negative 7 minus i, 1, and 3i, well, the one that corresponds to the new eigenvector, or value i mean, is going to be just the complex conjugate of the original eigenvector...