Question 11 • Advanced Algebra: Concepts and Connections
Which of the following is the result of the operation? the 3 by 4 matrix, row 1, column 1, 1 column 2, 2 column 3, 3 column 4, 6 row 2, column 1, 1 column 2, 1 column 3, 1 column 4, negative 2 row 3, column 1, 0 column 2, 2 column 3, 1 column 4, 5 negative cap r 1 plus cap r 2 rightarrow cap r 2 set over right arrow
The operation −R₁ + R₂ → R₂ replaces row 2 with row 2 minus row 1. Subtract entry by entry: [1, 1, 1, −2] − [1, 2, 3, 6] = [0, −1, −2, −8]. Rows 1 and 3 stay unchanged, so the result is choice A.
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