What is the determinant of the coefficient matrix of the system? negative 3 x plus 0 y minus 2 z is equal to 6 9 x plus 0 y plus 5 z is equal to 7 6 x plus 0 y minus 12 z is equal to 3

The coefficient matrix is [[-3, 0, -2], [9, 0, 5], [6, 0, -12]]. Its entire second column is zero, so its determinant is 0. Therefore, the correct choice is A, 0.

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