What is the determinant of cap h is equal to the 3 by 3 matrix row 1, 2 4 9 row 2, 3 3 1 row 3, 4 5 3 ?

Expand the determinant along the first row: 2(3·3 − 1·5) − 4(3·3 − 1·4) + 9(3·5 − 3·4). This gives 2(4) − 4(5) + 9(3) = 8 − 20 + 27 = 15. The determinant is 15, choice A.

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