Question: Suppose that A and / are distinct eigenvalues for matrix A. Prove that Eig( A, X) n Eig A, A) = {0}. In other words,

Suppose that A and / are distinct eigenvalues for matrix A. Prove that Eig( A, X) n Eig A, A) = {0}. In other words, an eigenvector for A belongs to exactly one eigenspace

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