What is the determinant of cap h is equal to the 3 by 3 matrix, row 1, column 1, 0 column 2, 2 column 3, 3 row 2, column 1, negative 1 column 2, 3 column 3, 5 row 3, column 1, 6 column 2, 3 column 3, negative 2 ?

Expand the determinant along the first row: 0 − 2[(-1)(-2) − (5)(6)] + 3[(-1)(3) − (3)(6)]. This becomes −2(2 − 30) + 3(−3 − 18) = 56 − 63 = −7. The determinant is negative 7, choice D.

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