Solve the System of Linear Equations $\left\{ \begin{array} { l l } - 6 x + 18 y + 6 z & = 1 \\12 x + 30 y & = 2 \\18 x + 6 y - 12 z & = - 1\end{array} \right.$

question 218

Multiple Choice

Solve the system of linear equations $\left\{ \begin{array} { l l } - 6 x + 18 y + 6 z & = 1 \\12 x + 30 y & = 2 \\18 x + 6 y - 12 z & = - 1\end{array} \right.$ using an inverse matrix.

• A) \(\left[ \begin{array} { l }
• x \\
• y \\
• z
• \end{array} \right] = \left[ \begin{array} { c }
• \frac { 1 } { 6 } \\
• \frac { - 1 } { 2 } \\
• \frac { 1 } { 3 }
• \end{array} \right]\)
• B) \(\left[ \begin{array} { l }
• x \\
• y \\
• z
• \end{array} \right] = \left[ \begin{array} { c }
• \frac { - 1 } { 6 } \\
• \frac { - 1 } { 2 } \\
• \frac { - 1 } { 3 }
• \end{array} \right]\)
• C) \(\left[ \begin{array} { l }
• x \\
• y \\
• z
• \end{array} \right] = \left[ \begin{array} { c }
• \frac { - 1 } { 6 } \\
• 0 \\
• \frac { 1 } { 2 }
• \end{array} \right]\)
• D) \(\left[ \begin{array} { l }
• x \\
• y \\
• z
• \end{array} \right] = \left[ \begin{array} { c }
• 0 \\
• \frac { 1 } { 3 } \\
• \frac { - 1 } { 6 }
• \end{array} \right]\)
• E) \(\left[ \begin{array} { l }
• x \\
• y \\
• z
• \end{array} \right] = \left[ \begin{array} { l }
• \frac { 1 } { 6 } \\
• 0 \\
• \frac { 1 } { 3 }
• \end{array} \right]\)

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Definitions:

Depreciation

The process of allocating the cost of a tangible asset over its useful life, reflecting its consumption, wear and tear, or obsolescence.

Pro Forma Statement

A financial document that forecasts the future income, expenses, or financial position of a company under hypothetical conditions.

Variable Costs

Expenditures that vary in a direct manner with the volume of output or sales.

Straight-Line Depreciation

A mechanism for spreading the expenditure of a tangible asset over its longevity in equal annual fractions.