20
QuizMultiple Choice

Adding and Subtracting Matrices — Quiz

Question 20 • 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

Answer
A
the 2 by 2 matrix row 1, 9 9 row 2, 3 2
B
the 2 by 2 matrix, row 1, column 1, 9 column 2, 9 row 2, column 1, negative 3 column 2, 2
C
the 2 by 2 matrix, row 1, column 1, negative 3 column 2, 2 row 2, column 1, 9 column 2, 9
D
the 2 by 2 matrix, row 1, column 1, negative 3 column 2, 9 row 2, column 1, 13 column 2, negative 6

Explanation

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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