What is cap x if the 2 by 2 matrix, row 1, column 1, negative 1 column 2, negative 2 row 2, column 1, 4 column 2, 8 plus cap x is equal to the 2 by 2 matrix, row 1, column 1, negative 5 column 2, negative 1 row 2, column 1, 2 column 2, 1 ?

Subtract the given matrix from both sides, so X equals the right-hand matrix minus the left-hand matrix. Subtract corresponding entries: −5 − (−1) = −4, −1 − (−2) = 1, 2 − 4 = −2, and 1 − 8 = −7. Thus X is the matrix with rows (−4, 1) and (−2, −7), which is choice C.

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