1 0 0 0 2 Given the matrix A3 = 3 0 0 -1 0 3 Find (1) All Eigenvalues%; (2) All Eigenvectors; (3) the algebraic and geometric multiplicities of each eigenvalue; and (4) IF the matrix is diagonalizable identify the matrices S3 and A3 (diagonal matrix) so that A3 = S3A3S, OTHERWISE state "not diagonalizable" 2000,

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