Question 15 • Advanced Algebra: Concepts and Connections
What is the sum of the given matrices? the 2 by 3 matrix, row 1, column 1, 4 column 2, 19 column 3, negative 5 row 2, column 1, 7 column 2, 0 column 3, negative 14 plus the 2 by 3 matrix, row 1, column 1, negative 8 column 2, 7 column 3, 0 row 2, column 1, negative 1 column 2, 17 column 3, 6 is equal to
Add the matrices entry by entry: 4 + (−8) = −4, 19 + 7 = 26, and −5 + 0 = −5 in the first row. In the second row, 7 + (−1) = 6, 0 + 17 = 17, and −14 + 6 = −8. The sum is the matrix with rows (−4, 26, −5) and (6, 17, −8), which is choice D.
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