If cap k is equal to the 2 by 2 matrix, row 1, column 1, negative 4 column 2, 6 row 2, column 1, 2 column 2, negative 3 and cap m is equal to the 2 by 2 matrix, row 1, column 1, 2 column 2, negative 2 row 2, column 1, 8 column 2, 5 , what is cap x when 2 cap x minus cap k is equal to cap m ?
Add K to both sides of 2X − K = M to get 2X = M + K. Adding the matrices gives M + K = [[2 + (−4), −2 + 6], [8 + 2, 5 + (−3)]] = [[−2, 4], [10, 2]]. Divide each entry by 2, so X = [[−1, 2], [5, 1]], which is choice C.
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