2
QuizMultiple Choice

Cramer's Rule — Quiz

Question 2 • Advanced Algebra: Concepts and Connections

What is the 1 by 1 row matrix column 1 cap A sub x in the given system? 4 x minus y is equal to negative 3 negative 2 x plus y is equal to 5

Answer
A
the 2 by 2 matrix, row 1, column 1, negative 3 column 2, 5 row 2, column 1, negative 2 column 2, 1
B
the 2 by 2 matrix, row 1, column 1, 4 column 2, negative 1 row 2, column 1, negative 2 column 2, 1
C
the 2 by 2 matrix, row 1, column 1, negative 3 column 2, negative 1 row 2, column 1, 5 column 2, 1
D
the 2 by 2 matrix, row 1, column 1, 4 column 2, negative 3 row 2, column 1, negative 2 column 2, 5

Explanation

To form Aₓ, replace the x-coefficient column of the system’s coefficient matrix with the constants on the right-hand side. The constants are −3 and 5, and the y-coefficients are −1 and 1, so Aₓ = [[−3, −1], [5, 1]]. This is choice B.

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