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Translate the Given System of Equations into Matrix Form {x−5y=9+z−8x−7z=12y=−x−3z+11}\left\{ \begin{aligned}x - 5 y & = 9 + z \\- 8 x - 7 z & = 12 \\y & = - x - 3 z + 11\end{aligned} \right\}

Question 64

Multiple Choice

Translate the given system of equations into matrix form. {x−5y=9+z−8x−7z=12y=−x−3z+11}\left\{ \begin{aligned}x - 5 y & = 9 + z \\- 8 x - 7 z & = 12 \\y & = - x - 3 z + 11\end{aligned} \right\}


A) [1−81−501−1−73]⋅[xyz]=[91211]\left[ \begin{array} { c c c } 1 & - 8 & 1 \\- 5 & 0 & 1 \\- 1 & - 7 & 3\end{array} \right] \cdot \left[ \begin{array} { l } x \\y \\z\end{array} \right] = \left[ \begin{array} { c } 9 \\12 \\11\end{array} \right]
B) [1−8−1−501−1−7−3]⋅[xyz]=[91211]\left[ \begin{array} { c c c } 1 & - 8 & - 1 \\- 5 & 0 & 1 \\- 1 & - 7 & - 3\end{array} \right] \cdot \left[ \begin{array} { l } x \\y \\z\end{array} \right] = \left[ \begin{array} { c } 9 \\12 \\11\end{array} \right]
C) [1−8150117−3]⋅[xyz]=[91211]\left[ \begin{array} { c c c } 1 & - 8 & 1 \\5 & 0 & 1 \\1 & 7 & - 3\end{array} \right] \cdot \left[ \begin{array} { l } x \\y \\z\end{array} \right] = \left[ \begin{array} { c } 9 \\12 \\11\end{array} \right]
D) [1−51−80−7113]⋅[xyz]=[91211]\left[ \begin{array} { c c c } 1 & - 5 & 1 \\- 8 & 0 & - 7 \\1 & 1 & 3\end{array} \right] \cdot \left[ \begin{array} { l } x \\y \\z\end{array} \right] = \left[ \begin{array} { c } 9 \\12 \\11\end{array} \right]
E) [1−51−80−711−3]⋅[xyz]=[91211]\left[ \begin{array} { c c c } 1 & - 5 & 1 \\- 8 & 0 & - 7 \\1 & 1 & - 3\end{array} \right] \cdot \left[ \begin{array} { l } x \\y \\z\end{array} \right] = \left[ \begin{array} { c } 9 \\12 \\11\end{array} \right]

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