Question: In Problems a-c, construct the required examples. (a) Construct a 2 2 matrix that is invertible but not diagonalizable. (b) Construct a 2

In Problems a-c, construct the required examples.
(a) Construct a 2 × 2 matrix that is invertible but not diagonalizable.
(b) Construct a 2 × 2 matrix that is diagonalizable but not invertible.
(c) Construct a 2 × 2 matrix that is neither invertible nor diagonalizable

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