Question 22 • Advanced Algebra: Concepts and Connections
Given cap r is equal to the 2 by 2 matrix, row 1, column 1, 0 column 2, 3 row 2, column 1, negative 4 column 2, 5 and cap s is equal to the 2 by 2 matrix, row 1, column 1, negative 2 column 2, negative 8 row 2, column 1, 0 column 2, 2 What is cap x if cap x plus cap r is equal to cap s ?
From X + R = S, subtract R from both sides to get X = S − R. Subtract corresponding entries: X = [[−2 − 0, −8 − 3], [0 − (−4), 2 − 5]] = [[−2, −11], [4, −3]]. This matches choice A.
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