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Matrices and Sequences — Test

Question 13 • Algebra II

Jelani wrote the system of linear equations to represent the number of student and adult tickets he and his friend sold to their school play. 12 s plus 10 A is equal to 128 16 s plus 21 A is equal to 232 Jelani also wrote the augmented matrix to represent this system. Which matrix could Jelani have written?

Answer
A
the 2 by 3 matrix row 1, 12 10 128 row 2, 16 21 232
B
the 2 by 2 matrix row 1, 12 10 row 2, 16 21
C
the 1 by 3 row matrix 12 10 128
D
the 3 by 2 matrix row 1, 12 16 row 2, 10 21 row 3, 128 232

Explanation

An augmented matrix lists the coefficients of the variables followed by the constant on the right side of each equation. The two equations have rows (12, 10, 128) and (16, 21, 232), so the matrix has 2 rows and 3 columns. Choice A shows exactly this matrix.

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