Question 37 • Advanced Algebra: Concepts and Connections
Given cap A is equal to the 2 by 2 matrix, row 1, column 1, 2 column 2, negative 7 row 2, column 1, 6 column 2, 1 and cap b is equal to the 2 by 2 matrix, row 1, column 1, negative 9 column 2, 5 row 2, column 1, 1 column 2, negative 1 If cap x minus cap A is equal to cap b , what is cap x ?
Add matrix A to both sides of X − A = B, giving X = A + B. Add corresponding entries: [[2 + (−9), −7 + 5], [6 + 1, 1 + (−1)]] = [[−7, −2], [7, 0]]. This is choice A, the matrix with rows (−7, −2) and (7, 0).
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