Use Inverses to Solve Matrix Equations
- $$\begin{array} { l } 5 x + 2 y + 2 z = 32 \\4 x + 2 y - 2 z = 32 \\8 x + 2 y + 8 z = 38\end{array}$$

question 44

Multiple Choice

Use Inverses to Solve Matrix Equations
- $$\begin{array} { l } 5 x + 2 y + 2 z = 32 \\4 x + 2 y - 2 z = 32 \\8 x + 2 y + 8 z = 38\end{array}$$

• A)
• \(\left[ \begin{array} { r r r } 5 & 2 & 2 \\ 4 & 2 & - 2 \\ 8 & 2 & 8 \end{array} \right] \left[ \begin{array} { l } x \\ y \\ z \end{array} \right] = \left[ \begin{array} { l } 32 \\ 32 \\ 38 \end{array} \right]\)
• B)
• \(\left[ \begin{array} { r r r } 5 & 4 & 8 \\ 2 & 2 & 2 \\ 2 & - 2 & 8 \end{array} \right] \left[ \begin{array} { l } \mathrm { x } \\ \mathrm { y } \\ \mathrm { z } \end{array} \right] = \left[ \begin{array} { l } 32 \\ 32 \\ 38 \end{array} \right]\)
• C)
• \[\left[ \begin{array} { r r r }
• 32 & 2 & 2 \\
• 32 & - 2 & 2 \\
• 38 & 8 & 2
• \end{array} \right] \left[ \begin{array} { l }
• x \\
• y \\
• z
• \end{array} \right] = \left[ \begin{array} { l }
• 5 \\
• 4 \\
• 8
• \end{array} \right]\]
• D)
• \[\left[ \begin{array} { l l }
• 5 & 2 \\
• 4 & 2 \\
• 8 & 2
• \end{array} \right] \left[ \begin{array} { l }
• x \\
• y \\
• z
• \end{array} \right] = \left[ \begin{array} { l }
• 2 \\
• - 2 \\
• 8
• \end{array} \right]\]

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