An Augmented Matrix That Represents a System of Linear Equations $\left[ \begin{array} { c c c : c } 1 & 0 & 0 & - 3 \\0 & 1 & 0 & - 6 \\0 & 0 & 1 & 1\end{array} \right]$

question 39

Multiple Choice

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. $\left[ \begin{array} { c c c : c } 1 & 0 & 0 & - 3 \\0 & 1 & 0 & - 6 \\0 & 0 & 1 & 1\end{array} \right]$

• A)x = -3, y = -6, z = 1
• B)x = 3, y = 6, z = -1
• C)x = 0, y = 0, z = 0
• D)x = -3x, y = y, z = -6z
• E)x = -3, y = 0, z = 0

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