Write the System of Linear Equations as a Matrix Equation $A X = B$

question 69

Multiple Choice

Write the system of linear equations as a matrix equation $A X = B$ and then use Gauss-Jordan elimination on the augmented matrix $[ A : B ]$ to solve for the the matrix $X$ $\left\{ \begin{array} { c } - 5 x - 5 y + 9 z = 9 \\- 5 x - 5 y + 8 z = 8 \\3 x + 7 y + 2 z = - 10\end{array} \right.$

• A) \(X = \left[ \begin{array} { c }
• - 3 \\
• 3 \\
• 1
• \end{array} \right]\)
• B) \(X = \left[ \begin{array} { c }
• 3 \\
• - 3 \\
• 1
• \end{array} \right]\)
• C) \(X = \left[ \begin{array} { c }
• - 3 \\
• 1 \\
• 3
• \end{array} \right]\)
• D) \(X = \left[ \begin{array} { c }
• 1 \\
• 3 \\
• - 3
• \end{array} \right]\)
• E) \(X = \left[ \begin{array} { c }
• 1 \\
• - 3 \\
• 3
• \end{array} \right]\)

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