Question: True or false: (a) If is an eigenvalue of both A and B, then it is an eigenvalue of the sum A + B.

True or false:
(a) If λ is an eigenvalue of both A and B, then it is an eigenvalue of the sum A + B.
(b) If v is an eigenvector of both A and B. then it is an eigenvector of A + B.

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