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

question 36

Multiple Choice

Write the system of linear equations as a matrix equation $A X = B$ , and use Gauss-Jordan elimination on the augmented matrix $[ A \vdots B ]$ to solve for the matrix $X$ .
$$\left\{ \begin{array} { l } x _ { 1 } - 3 x _ { 2 } - 9 x _ { 3 } = 43 \\x _ { 1 } + 4 x _ { 2 } + 7 x _ { 3 } = - 51 \\7 x _ { 1 } - 7 x _ { 2 } + 3 x _ { 3 } = - 57\end{array} \right.$$

• A)
• \(X = \left[ \begin{array} { c }
• - 16 \\
• 10 \\
• - 40
• \end{array} \right]\)
• B)
• \(X = \left[ \begin{array} { c }
• 10 \\
• 8 \\
• - 2
• \end{array} \right]\)
• C)
• \(X = \left[ \begin{array} { l }
• - 8 \\
• - 2 \\
• - 5
• \end{array} \right]\)
• D)
• \(X = \left[ \begin{array} { c }
• - 10 \\
• 16 \\
• 40
• \end{array} \right]\)
• E)
• \(X = \left[ \begin{array} { c }
• 8 \\
• 5 \\
• - 2
• \end{array} \right]\)

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