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

question 64

Multiple Choice

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

• A) \(\left[ \begin{array} { c c c }
• 1 & - 8 & 1 \\
• - 5 & 0 & 1 \\
• - 1 & - 7 & 3
• \end{array} \right] \cdot \left[ \begin{array} { l }
• x \\
• y \\
• z
• \end{array} \right] = \left[ \begin{array} { c }
• 9 \\
• 12 \\
• 11
• \end{array} \right]\)
• B) \(\left[ \begin{array} { c c c }
• 1 & - 8 & - 1 \\
• - 5 & 0 & 1 \\
• - 1 & - 7 & - 3
• \end{array} \right] \cdot \left[ \begin{array} { l }
• x \\
• y \\
• z
• \end{array} \right] = \left[ \begin{array} { c }
• 9 \\
• 12 \\
• 11
• \end{array} \right]\)
• C) \(\left[ \begin{array} { c c c }
• 1 & - 8 & 1 \\
• 5 & 0 & 1 \\
• 1 & 7 & - 3
• \end{array} \right] \cdot \left[ \begin{array} { l }
• x \\
• y \\
• z
• \end{array} \right] = \left[ \begin{array} { c }
• 9 \\
• 12 \\
• 11
• \end{array} \right]\)
• D) \(\left[ \begin{array} { c c c }
• 1 & - 5 & 1 \\
• - 8 & 0 & - 7 \\
• 1 & 1 & 3
• \end{array} \right] \cdot \left[ \begin{array} { l }
• x \\
• y \\
• z
• \end{array} \right] = \left[ \begin{array} { c }
• 9 \\
• 12 \\
• 11
• \end{array} \right]\)
• E) \(\left[ \begin{array} { c c c }
• 1 & - 5 & 1 \\
• - 8 & 0 & - 7 \\
• 1 & 1 & - 3
• \end{array} \right] \cdot \left[ \begin{array} { l }
• x \\
• y \\
• z
• \end{array} \right] = \left[ \begin{array} { c }
• 9 \\
• 12 \\
• 11
• \end{array} \right]\)

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Definitions:

WAN

Wide Area Network, a telecommunications network that extends over a large geographic area for the primary purpose of computer networking.

MAN

Metropolitan Area Network; a network that interconnects users with computer resources in a geographic area or region larger than that covered by a large local area network (LAN) but smaller than the area covered by a wide area network (WAN).

LAN

Local Area Network, a network that connects computers within a limited area like a home, school, or office building.

MAN

Metropolitan Area Network, a network that interconnects users with computer resources in a geographic area larger than that covered by a LAN but smaller than a WAN.