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Write the System of Equations as a Matrix Equation of the Form

Question 141

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Write the system of equations as a matrix equation of the form AX = B, where A is the coefficient matrix, X is the column matrix of variables, and B is the column matrix of constants.
- 5x8y+9z=162xz=57y+z=8\begin{array} { l } - 5 x - 8 y + 9 z = 16 \\2 x - z = 5 \\- 7 y + z = 8\end{array}


A) [589201071][xyz]=[1658]\left[ \begin{array} { l l l } 5 & 8 & 9 \\ 2 & 0 & 1 \\ 0 & 7 & 1 \end{array} \right] \left[ \begin{array} { l } x \\ y \\ z \end{array} \right] = \left[ \begin{array} { r } 16 \\ 5 \\ 8 \end{array} \right]
B) [589210710][xyz]=[1658]\left[ \begin{array} { r r r } - 5 & - 8 & 9 \\ 2 & - 1 & 0 \\ - 7 & 1 & 0 \end{array} \right] \left[ \begin{array} { l } x \\ y \\ z \end{array} \right] = \left[ \begin{array} { r } 16 \\ 5 \\ 8 \end{array} \right]
C) [589201071][xyz]=[1658]\left[ \begin{array} { r r r } - 5 & - 8 & 9 \\ 2 & 0 & - 1 \\ 0 & - 7 & 1 \end{array} \right] \left[ \begin{array} { l } x \\ y \\ z \end{array} \right] = \left[ \begin{array} { r } - 16 \\ - 5 \\ - 8 \end{array} \right]
D) [589201071][xyz]=[1658]\left[ \begin{array} { r r r } - 5 & - 8 & 9 \\ 2 & 0 & - 1 \\ 0 & - 7 & 1 \end{array} \right] \left[ \begin{array} { l } x \\ y \\ z \end{array} \right] = \left[ \begin{array} { r } 16 \\ 5 \\ 8 \end{array} \right]

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