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

The matrix is upper triangular because every entry below the main diagonal is zero. Its determinant is the product of the diagonal entries: (−2)(3)(−5) = 30. Therefore, the correct choice is C, 30.

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