An Augmented Matrix That Represents a System of Linear Equations $$\left[ \begin{array} { r r r r r } 1 & 0&0 & \vdots&2 \\0 & 1 & 0 & \vdots & 3 \\0 & 0 & 1 & \vdots &4\end{array} \right]$$

question 219

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. $$\left[ \begin{array} { r r r r r } 1 & 0&0 & \vdots&2 \\0 & 1 & 0 & \vdots & 3 \\0 & 0 & 1 & \vdots &4\end{array} \right]$$

• A)x = 0, y = 0, z = 0
• B)x = 2x, y = 4y, z = 3z
• C)x = 2, y = 3, z = 4
• D)x = -2, y = -3, z = -4
• E)x = 2, y = 0, z = 0

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