What is the determinant of the coefficient matrix of the system? 4 x minus 6 y plus 0 z is equal to negative 7 3 x plus 3 y plus 0 z is equal to negative 2 2 x minus 12 y plus 0 z is equal to negative 1

The coefficient matrix is [[4, −6, 0], [3, 3, 0], [2, −12, 0]]. Its third column consists entirely of zeros, so its determinant is 0. Therefore, the correct choice is 0.

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