True or false: If v is a real eigenvector of a real matrix A, then a nonzero

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True or false: If v is a real eigenvector of a real matrix A, then a nonzero complex multiple w = cv for c ∈ C is a complex eigenvector of A.

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Applied Linear Algebra

ISBN: 9783319910406

2nd Edition

Authors: Peter J. Olver, Chehrzad Shakiban

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