Write the System as a Vector Equation or Matrix Equation $$\begin{array} { l } 6 x _ { 1 } - 6 x _ { 2 } - x _ { 3 } = 5 \\6 x _ { 1 } + 3 x _ { 3 } = - 5\end{array}$$

question 62

Multiple Choice

Write the system as a vector equation or matrix equation as indicated.
-Write the following system as a vector equation involving a linear combination of vectors. $$\begin{array} { l } 6 x _ { 1 } - 6 x _ { 2 } - x _ { 3 } = 5 \\6 x _ { 1 } + 3 x _ { 3 } = - 5\end{array}$$

• A) \(x _ { 1 } \left[ \begin{array} { l } 6 \\ 6 \end{array} \right] + x _ { 2 } \left[ \begin{array} { r } - 6 \\ 0 \end{array} \right] + x _ { 3 } \left[ \begin{array} { c } - 1 \\ 3 \end{array} \right] = \left[ \begin{array} { r } 5 \\ - 5 \end{array} \right]\)
• B) \(x _ { 1 } \left[ \begin{array} { c } 6 \\ 6 \\ - 1 \end{array} \right] + x _ { 2 } \left[ \begin{array} { c } 6 \\ 0 \\ 3 \end{array} \right] = \left[ \begin{array} { c } 5 \\ - 5 \\ 0 \end{array} \right]\)
• C) \(6 \left[ \begin{array} { l } x _ { 1 } \\ x _ { 2 } \\ x _ { 3 } \end{array} \right] - 6 \left[ \begin{array} { l } x _ { 1 } \\ x _ { 2 } \\ x _ { 3 } \end{array} \right] - \left[ \begin{array} { l } x _ { 1 } \\ x _ { 2 } \\ x _ { 3 } \end{array} \right] = \left[ \begin{array} { r } 5 \\ - 5 \\ 0 \end{array} \right]\)
• D) \(x _ { 1 } \left[ \begin{array} { l } 6 \\ 6 \end{array} \right] + x _ { 2 } \left[ \begin{array} { r } - 6 \\ 1 \end{array} \right] + x _ { 3 } \left[ \begin{array} { c } 1 \\ 3 \end{array} \right] = \left[ \begin{array} { r } 5 \\ - 5 \end{array} \right]\)

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