Let A be an eigenvalue of the n ( n matrix A. Prove that the subset of

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Let A be an eigenvalue of the n ( n matrix A. Prove that the subset of Rn (Cn) consisting of the zero vector and all eigenvectors of A associated with λ. is a subspace of Rn (Cn). This subspace is called the eigenspace associated with λ? (This result is a corollary to the result in Exercise 14.)
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