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If the determinant of the matrix [[1, 3, 4], [1, x-1, 2x+2], [2, 5, 9]] is zero, find the value of x.

1. 2
2. 1
3. 4
4. 0

Correct answer: 2

Solution

Expanding the determinant gives 3x - 6 = 0, so x = 2.

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