1. Prove the statement: If A is an eigenvalue of a matrix A and k is a scalar, then λ + k is an eigenvalue of the matrix A+ kl. 2. Find the eigenvalues and eigenvectors of A and A2 and A-¹ and A + 4I - [32] A = 3. Find the eigenvalues and eigenvectors of A 1 A = -1 -1 0

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