Write the System of Linear Equations as a Matrix Equation

question 22

Multiple Choice

Write the system of linear equations as a matrix equation, AX = B. $$\left\{ \begin{aligned}x _ { 1 } - 3 x _ { 2 } + 2 x _ { 3 } & = 18 \\- x _ { 1 } + 3 x _ { 2 } - x _ { 3 } & = 18 \\3 x _ { 1 } - 3 x _ { 2 } + 3 x _ { 3 } & = 18\end{aligned} \right.$$

• A) \(\left[ \begin{array} { l l l }
• 1 & 3 & 2 \\
• 1 & 3 & 1 \\
• 3 & 3 & 3
• \end{array} \right] \left[ \begin{array} { l }
• x _ { 1 } \\
• x _ { 2 } \\
• x _ { 3 }
• \end{array} \right] = \left[ \begin{array} { l }
• 18 \\
• 18 \\
• 18
• \end{array} \right]\)
• B) \(\left[ \begin{array} { c c c }
• 1 & - 3 & 2 \\
• - 1 & 3 & - 1 \\
• 3 & - 3 & 3
• \end{array} \right] \left[ \begin{array} { l }
• x _ { 1 } \\
• x _ { 2 } \\
• x _ { 3 }
• \end{array} \right] = \left[ \begin{array} { l }
• - 18 \\
• - 18 \\
• - 18
• \end{array} \right]\)
• C) \(\left[ \begin{array} { c c c }
• 1 & - 3 & 2 \\
• - 1 & 3 & - 1 \\
• 3 & - 3 & 3
• \end{array} \right] \left[ \begin{array} { l }
• x _ { 1 } \\
• x _ { 2 } \\
• x _ { 3 }
• \end{array} \right] = \left[ \begin{array} { l }
• 18 \\
• 18 \\
• 18
• \end{array} \right]\)
• D) \(\left[ \begin{array} { c c c }
• 1 & - 1 & 3 \\
• - 3 & 3 & 3 \\
• 2 & - 1 & 3
• \end{array} \right] \left[ \begin{array} { l }
• x _ { 1 } \\
• x _ { 2 } \\
• x _ { 3 }
• \end{array} \right] = \left[ \begin{array} { l }
• 18 \\
• 18 \\
• 18
• \end{array} \right]\)
• E) \(\left[ \begin{array} { c c c }
• 1 & - 3 & 2 \\
• - 1 & 3 & - 1 \\
• 3 & - 3 & 3
• \end{array} \right] \left[ \begin{array} { c }
• - x _ { 1 } \\
• - x _ { 2 } \\
• - x _ { 3 }
• \end{array} \right] = \left[ \begin{array} { l }
• 18 \\
• 18 \\
• 18
• \end{array} \right]\)

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Definitions:

Inconsistent

Lacking compatibility or uniformity; actions, beliefs, or statements that do not align or are contradictory.

Nanogram

A unit of mass equal to one billionth of a gram.

Religion Conflict

Disputes and tensions that arise due to differences in religious beliefs and practices.

Different Aspects

Various features, perspectives, or elements of a subject or situation.