Question: 1. Verify the following equation. 2. Find a 4 Ã 4 matrix whose determinant is equal to ax3 + bx2 + cx + d. (Hint:

1. Verify the following equation.

cl х ax + bx + c - 1 0 -1 х

2. Find a 4 × 4 matrix whose determinant is equal to ax3 + bx2 + cx + d. (Hint: Use the equation in Exercise 12 as a model.)

х cl - 1 0 -1 ax + bx + c х

cl ax + bx + c - 1 0 -1 cl - 1 0 -1 ax + bx + c

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