Comment on Eigenvectors and eigenvalues explained visuallyparentComments−wging11yWho says ((0 1) (1 0)) is a real matrix? It's a complex matrix whose entries all happen to have 0 as the value of their imaginary part :)−JadeNB11yI didn't say that it isn't complex, only that it is real—and as such can be visualised as a transformation of the real plane, in which context one might still strive to understand its (complex) eigendecomposition.
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Who says ((0 1) (1 0)) is a real matrix? It's a complex matrix whose entries all happen to have 0 as the value of their imaginary part :)
I didn't say that it isn't complex, only that it is real—and as such can be visualised as a transformation of the real plane, in which context one might still strive to understand its (complex) eigendecomposition.