Matrix cap A is equal to the 2 by 2 matrix, row 1, column 1, 6 column 2, negative 12 row 2, column 1, 4 column 2, 8 What is matrix cap x if 1 half cap x is equal to cap A ?

Since one-half of matrix X equals matrix A, multiply both sides by 2 to get X = 2A. Double each entry of A: 6 becomes 12, −12 becomes −24, 4 becomes 8, and 8 becomes 16. Therefore, X is the matrix in choice C.

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