10
QuizMultiple Choice

Cramer's Rule — Quiz

Question 10 • Advanced Algebra: Concepts and Connections

What is the 1 by 1 row matrix column 1 cap A sub y in the given system of linear equations? negative 8 x plus y is equal to negative 6 3 x minus 2 y is equal to negative 1

Answer
A
the 2 by 2 matrix, row 1, column 1, negative 6 column 2, 1 row 2, column 1, negative 1 column 2, negative 2
B
the 2 by 2 matrix, row 1, column 1, negative 8 column 2, 1 row 2, column 1, negative 6 column 2, negative 1
C
the 2 by 2 matrix, row 1, column 1, negative 8 column 2, 1 row 2, column 1, 3 column 2, negative 2
D
the 2 by 2 matrix, row 1, column 1, negative 8 column 2, negative 6 row 2, column 1, 3 column 2, negative 1

Explanation

To form A_y, replace the y-coefficient column of the system’s coefficient matrix with the constants on the right side. The x-coefficients stay −8 and 3, while the constants are −6 and −1, so A_y = [[−8, −6], [3, −1]]. This is choice D.

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