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Use Inverses to Solve Matrix Equations
- 5x+2y+2z=324x+2y2z=328x+2y+8z=38\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
- 5x+2y+2z=324x+2y2z=328x+2y+8z=38\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)
[522422828][xyz]=[323238]\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)
[548222228][xyz]=[323238]\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)
[322232223882][xyz]=[548]\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)
[524282][xyz]=[228]\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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