Let a be a complex or real n x n matrix and let x in cn be


Question: Let A be a complex (or real) n X n matrix, and let x in Cn be an eigenvector corresponding to an eigenvalue λ in C. Show that for each nonzero complex scalar μ, the vector μx is an eigenvector of A.

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Mathematics: Let a be a complex or real n x n matrix and let x in cn be
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