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Evaluate the determinant of the matrix [[y+z, x, x], [y, z+x, y], [z, z, x+y]].

1. 4xyz
2. x² y² z²
3. 4 x² y² z²
4. xyz

Correct answer: 4xyz

Solution

Using row/column reduction the determinant factors completely and evaluates to 4xyz.

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