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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- A sample of potassium nitrate (49.0 g) is dissolved in 101 g of water at 100°C, with precautions taken to avoid evaporation of any water. The solution is