Translate the Matrix Equations into a System of Linear Equations

question 37

Multiple Choice

Translate the matrix equations into a system of linear equations. $\left[ \begin{array} { c c c } \frac { 1 } { 5 } & 0 & - 1 \\2 & \frac { 1 } { 2 } & 5 \\- 3 & 4 & 8\end{array} \right] \cdot \left[ \begin{array} { l } x \\y \\z\end{array} \right] = \left[ \begin{array} { c } - 9 \\3 \\2\end{array} \right]$

• A) \(\left\{ \begin{aligned}
• \frac { 1 } { 5 } x + y - 3 z & = - 9 \\
• \frac { 1 } { 2 } y + 4 z & = 3 \\
• - x + 5 y + 8 z & = 2
• \end{aligned} \right\}\)
• B) \(\left\{ \begin{aligned}
• \frac { 1 } { 5 } x + y - 3 z + 9 & = 0 \\
• \frac { 1 } { 2 } y + 4 z + 3 & = 0 \\
• - x + 5 y + 8 z + 2 & = 0
• \end{aligned} \right\}\)
• C) \(\left\{ \begin{array} { r }
• \frac { 1 } { 5 } x - z + 9 = x \\
• 2 x + \frac { 1 } { 2 } y + 5 z - 3 = y \\
• - 3 x + 4 y + 8 z - 2 = z
• \end{array} \right\}\)
• D) \(\left\{ \begin{aligned}
• \frac { 1 } { 5 } x - z & = - 9 \\
• 2 x + \frac { 1 } { 2 } y + 5 z & = 3 \\
• - 3 x + 4 y + 8 z & = 2
• \end{aligned} \right\}\)
• E) \(\left\{ \begin{array} { r }
• \frac { 1 } { 5 } x - z - 9 = 0 \\
• 2 x + \frac { 1 } { 2 } y + 5 z + 3 = 0 \\
• - 3 x + 4 y + 8 z + 2 = 0
• \end{array} \right\}\)

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