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Give Examples of 12) A 3x3 matrix that is not diagonalizable 13) A 4x4 matrix that is not diagonal but is diagonalizable 14) A 2x2 matrix that is

Give Examples of

12) A 3x3 matrix that is not diagonalizable



13) A 4x4 matrix that is not diagonal but is diagonalizable



14) A 2x2 matrix that is diagonalizable over the complex numbers but not over the real numbers



15) two different inner products for P4.

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