What is the product? the 2 by 2 matrix, row 1, column 1, 5 column 2, negative 2 row 2, column 1, negative 6 column 2, 2 times the 2 by 1 column matrix row 1 negative 1 row 2 negative 1

Multiply each row of the 2 × 2 matrix by the column vector. The first entry is 5(−1) + (−2)(−1) = −3, and the second is (−6)(−1) + 2(−1) = 4. The product is the column matrix with entries −3 and 4, which is choice D.

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