Write the System of Linear Equations as a Matrix Equation $[ A \mid B ]$

question 12

Multiple Choice

Write the system of linear equations as a matrix equation AX = B,and use Gauss-Jordan elimination on the augmented matrix $[ A \mid B ]$ to solve for the matrix X. $\left\{ \begin{aligned}x _ { 1 } - 3 x _ { 2 } & = - 25 \\- 5 x _ { 1 } + 2 x _ { 2 } & = 34\end{aligned} \right.$

• A) \[\left[ \begin{array} { c c }
• 1 & - 3 \\
• - 5 & 2
• \end{array} \right] \left[ \begin{array} { c }
• - 25 \\
• - 4
• \end{array} \right] = \left[ \begin{array} { c }
• 34 \\
• 7
• \end{array} \right]\]
• B) \[\left[ \begin{array} { c c }
• 1 & - 3 \\
• - 5 & 2
• \end{array} \right] = \left[ \begin{array} { c }
• - 25 \\
• 34
• \end{array} \right]\]
• C) \[\left[ \begin{array} { c c }
• 1 & - 3 \\
• - 5 & 2
• \end{array} \right] \left[ \begin{array} { c }
• - 4 \\
• - 25
• \end{array} \right] = \left[ \begin{array} { c }
• 7 \\
• 34
• \end{array} \right]\]
• D) \[\left[ \begin{array} { c c }
• 1 & - 3 \\
• - 5 & 2
• \end{array} \right] \left[ \begin{array} { c }
• - 4 \\
• 7
• \end{array} \right] = \left[ \begin{array} { c }
• - 25 \\
• 34
• \end{array} \right]\]
• E) \[\left[ \begin{array} { c c }
• 1 & - 3 \\
• - 5 & 2
• \end{array} \right] \left[ \begin{array} { c }
• - 25 \\
• 34
• \end{array} \right] = \left[ \begin{array} { c }
• - 4 \\
• 7
• \end{array} \right]\]

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