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I'm using ctr+Enter and ctr+, to make a matrix within Mathematica, and passing the values that way. I haven't seen the link you sent, thank you for the info.
@J.M., Actually, with some more experimenting (and more Diffeq homework), Carl Woll's answer doesn't work for the matrix {{4, 5},{-2, 6}} with the eigenvector{{1 - 3:ii:},{2}}. It doesn't seem to work with any vector with complex eigenvectors