Question 14 • Advanced Algebra: Concepts and Connections
The given matrix represents the solution to a system of equations. the 3 by 4 matrix, row 1, column 1, 1 column 2, 0 column 3, 0 column 4, negative 3 row 2, column 1, 0 column 2, 1 column 3, 0 column 4, 2 row 3, column 1, 0 column 2, 0 column 3, 1 column 4, negative 1 Which of the following describes the solution?
Answer
A
open paren 1 comma 1 comma 1 close paren
B
an infinite number of solutions
C
open paren negative 3 comma 2 comma negative 1 close paren
D
no solution
Explanation
Each row gives one variable’s value: the first row says x = -3, the second says y = 2, and the third says z = -1. Therefore, the solution is (-3, 2, -1), which is choice C.
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