An augmented matrix that represents a system of linear equations (in variables x, y, and z) has been reduced using Gauss-Jordan elimination.Write the solution represented by the augmented matrix.
A) x = 8, y = 1, z = 5
B) x = -8, y = -1, z = -5
C) x = 0, y = 0, z = 0
D) x = 8x, y = 5y, z = z
E) x = 8, y = 0, z = 0

Question

An augmented matrix that represents a system of linear equations (in variables x, y, and z) has been reduced using Gauss-Jordan elimination.Write the solution represented by the augmented matrix. 
A) x = 8, y = 1, z = 5 
B) x = -8, y = -1, z = -5 
C) x = 0, y = 0, z = 0 
D) x = 8x, y = 5y, z = z 
E) x = 8, y = 0, z = 0

Quizplus · Accepted Answer

Since we do not have the augmented matrix provided, we cannot determine the reduced row echelon form. However, a reduced matrix having a unique solution will have a diagonal of ones in the coefficient matrix and the rightmost column will have the values of the solution. Therefore, the answer is the solution of x = 8, y = 1, and z = 5.

An Augmented Matrix That Represents a System of Linear Equations