Question: 11 Let A - [24]. = (a) Find all eigenvalues and corresponding eigenvectors of A. (b) Find an invertible matrix P such that P-AP

11 Let A - [24]. = (a) Find all eigenvalues and corresponding

11 Let A - [24]. = (a) Find all eigenvalues and corresponding eigenvectors of A. (b) Find an invertible matrix P such that P-AP is a diagonal matrix. (c) Compute. A 30 Let the linear transformation T: R R3 be defined as T(1, 22, 23) = (721 +22213, 21 - 2x +s, 22 - 23) and suppose B= {(1, 1, 1), (0, 1, 1), (0, 0,3)} is a basis for R. Find the matrix for T with respect to the basis B. Is T one-to-one? If so, find T-1

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