Question 21 • Advanced Algebra: Concepts and Connections
What is the sum of the given matrices? the 2 by 2 matrix, row 1, column 1, 3 column 2, 9 row 2, column 1, 5 column 2, negative 2 plus the 2 by 2 matrix, row 1, column 1, 6 column 2, 0 row 2, column 1, negative 8 column 2, 4 is equal to
Add the matrices entry by entry, matching the same row and column. The sums are 3 + 6 = 9, 9 + 0 = 9, 5 + (−8) = −3, and −2 + 4 = 2. The result is the matrix with rows [9, 9] and [−3, 2], which is choice A.
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