Give an example for following statements. (1)Give a 4 x 4 matrix which is not diagonalizable. (2) Find a 3 x 3 diagonalizable matrix with X = 1 is an eigenvalue of multiplicity larger (or equal) than 2. • (3)Find a 2 × 2 nondiagonalizble matrix with λ = -1 be the only eigenvalue.

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