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

Question: Let A be a complex (or real) n n matrix, and let x in C n be an eigenvector corresponding to an eigenvalue

Let A be a complex (or real) n × 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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