Question 16 • Advanced Algebra: Concepts and Connections
What is the difference between the given matrices? the 2 by 2 matrix, row 1, column 1, negative 4 column 2, 8 row 2, column 1, 3 column 2, 12 minus the 2 by 2 matrix, row 1, column 1, 2 column 2, 1 row 2, column 1, negative 14 column 2, 15 is equal to
Subtract the matrices entry by entry: the result is [−4−2, 8−1; 3−(−14), 12−15] = [−6, 7; 17, −3]. This matches choice B, the matrix with entries −6, 7, 17, and −3.
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