Question: 2. Give a real 4x4 matrix that is NOT- diagonalizable over R. Justify your answer using its eigenvalues and eigenspaces. Moreover, (a) determine whether

2. Give a real 4x4 matrix that is NOT- diagonalizable over R.

2. Give a real 4x4 matrix that is NOT- diagonalizable over R. Justify your answer using its eigenvalues and eigenspaces. Moreover, (a) determine whether the given matrix is trigonalizable over R, justify your answer; (b) give the matrix's characteristic polynomial, minimal polynomial, invariant factors, and elementary divisors; and (c) compute for the matrix's Jordan Canonical Form.

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