What are the values of c and d in the matrix subtraction? the 2 by 2 matrix, row 1, column 1, 6 column 2, 8 row 2, column 1, negative 11 column 2, 15 minus the 2 by 2 matrix, row 1, column 1, c plus 2 column 2, 3 row 2, column 1, negative 5 column 2, d minus 4 is equal to the 2 by 2 matrix, row 1, column 1, 22 column 2, 5 row 2, column 1, negative 6 column 2, 17
Answer
A
c is equal to negative 14 d is equal to 2
B
c is equal to negative 14 d is equal to negative 6
C
c is equal to negative 18 d is equal to 2
D
c is equal to negative 18 d is equal to negative 6
Explanation
Matrix subtraction is done entry by entry. From the top-left entries, 6 − (c + 2) = 22, so 4 − c = 22 and c = −18. From the bottom-right entries, 15 − (d − 4) = 17, so 19 − d = 17 and d = 2. Therefore, the correct choice is C: c = −18 and d = 2.
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