Write the System of Linear Equations as a Matrix Equation,AX

question 26

Multiple Choice

Write the system of linear equations as a matrix equation,AX = B.​ $$\left\{ \begin{aligned}x _ { 1 } - 3 x _ { 2 } + 2 x _ { 3 } & = 18 \\- x _ { 1 } + 3 x _ { 2 } - x _ { 3 } & = 18 \\3 x _ { 1 } - 3 x _ { 2 } + 3 x _ { 3 } & = 18\end{aligned} \right.$$ ​

• A) \[\left[ \begin{array} { l l l }
• 1 & 3 & 2 \\
• 1 & 3 & 1 \\
• 3 & 3 & 3
• \end{array} \right] \left[ \begin{array} { l }
• x _ { 1 } \\
• x _ { 2 } \\
• x _ { 3 }
• \end{array} \right] = \left[ \begin{array} { l }
• 18 \\
• 18 \\
• 18
• \end{array} \right]\]
• B) \[\left[ \begin{array} { c c c }
• 1 & - 3 & 2 \\
• - 1 & 3 & - 1 \\
• 3 & - 3 & 3
• \end{array} \right] \left[ \begin{array} { l }
• x _ { 1 } \\
• x _ { 2 } \\
• x _ { 3 }
• \end{array} \right] = \left[ \begin{array} { l }
• - 18 \\
• - 18 \\
• - 18
• \end{array} \right]\]
• C) \[\left[ \begin{array} { c c c }
• 1 & - 3 & 2 \\
• - 1 & 3 & - 1 \\
• 3 & - 3 & 3
• \end{array} \right] \left[ \begin{array} { l }
• x _ { 1 } \\
• x _ { 2 } \\
• x _ { 3 }
• \end{array} \right] = \left[ \begin{array} { l }
• 18 \\
• 18 \\
• 18
• \end{array} \right]\]
• D) \[\left[ \begin{array} { c c c }
• 1 & - 1 & 3 \\
• - 3 & 3 & 3 \\
• 2 & - 1 & 3
• \end{array} \right] \left[ \begin{array} { l }
• x _ { 1 } \\
• x _ { 2 } \\
• x _ { 3 }
• \end{array} \right] = \left[ \begin{array} { l }
• 18 \\
• 18 \\
• 18
• \end{array} \right]\]
• E) \[\left[ \begin{array} { c c c }
• 1 & - 3 & 2 \\
• - 1 & 3 & - 1 \\
• 3 & - 3 & 3
• \end{array} \right] \left[ \begin{array} { c }
• - x _ { 1 } \\
• - x _ { 2 } \\
• - x _ { 3 }
• \end{array} \right] = \left[ \begin{array} { l }
• 18 \\
• 18 \\
• 18
• \end{array} \right]\]

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