Question: 4. (5 points) Describe all eigenspaces of A and state the geometric and algebraic multiplicity of each eigenvalue. Determine whether the matrix is diagonalizable. Justify

4. (5 points) Describe all eigenspaces of A and state the geometric and algebraic multiplicity of each eigenvalue. Determine whether the matrix is diagonalizable. Justify your answer. If A is diagonalizable then diagonalize it (That is, find a diagonal matrix D and an invertible matrix P such that A = PDP-1. Do not find the inverse of P.) -1 2 0 0 NOO A = 0 -1 C 0 4

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