8
QuizMultiple Choice

Introduction to Matrices — Quiz

Question 8 • Advanced Algebra: Concepts and Connections

Which is an augmented matrix for the system of linear equations? negative 4 x plus 3 y is equal to 216 10 x minus 4 y is equal to negative 156

Answer
A
the 2 by 3 matrix, row 1, column 1, negative 4 column 2, 3 column 3, 216 row 2, column 1, 10 column 2, negative 4 column 3, negative 156
B
the 2 by 2 matrix, row 1, column 1, negative 4 column 2, 3 row 2, column 1, 10 column 2, negative 4
C
the 2 by 2 matrix row 1, 4 3 row 2, 10 4
D
the 2 by 3 matrix row 1, 4 3 216 row 2, 10 4 156

Explanation

An augmented matrix lists the coefficients of the variables first, followed by the constants on the right side of each equation. The equations give rows (−4, 3, 216) and (10, −4, −156). Choice A has exactly these rows, including the negative signs.

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