Question: a) Let , and 12 be two different eigenvalues of a matrix A and let u, and uz be eigenvectors of A corresponding to ,

a) Let , and 12 be two different eigenvalues of a matrix A and let u, and uz be eigenvectors of A corresponding to , and 12, respectively. Show that u1 + u2 is not an eigenvector of A. b) Prove that if 1 0 is an eigenvalue of matrix A, = [A| is an eigenvalue of adj(A) where adj(A) is the adjoint matrix of A

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