Use the Given Row Transformation to Change the Matrix as Indicated

question 315

Multiple Choice

Use the given row transformation to change the matrix as indicated.
- $\left[ \begin{array} { r r r } 6 & 5 & 18 \\ 5 & - 2 & 7 \\ 1 & 2 & 3 \end{array} \right] ; - 6$ times row 3 added to row 1

• A)
• \(\left[ \begin{array} { r r r } 6 & 5 & 18 \\ - 1 & - 14 & - 11 \\ - 6 & - 12 & - 18 \end{array} \right]\)
• B)
• \(\left[ \begin{array} { r r r } 7 & 7 & 0 \\ 5 & - 2 & 7 \\ 1 & 2 & 3 \end{array} \right]\)
• C)
• \(\left[\begin{array}{rrr}
• 0 & -7 & 0 \\
• 5 & -2 & 7 \\
• 1 & 2 & 3
• \end{array}\right]\)
• D)
• \(\left[\begin{array}{rrr}
• 6 & 5 & 1 \\
• 5 & -2 & 7 \\
• -6 & -12 & -18
• \end{array}\right]\)

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Definitions:

Net Income

The total profit of a company after all expenses and taxes have been deducted from total revenues.

Operating Leverage

A measure of how revenue growth translates into growth in operating income, highlighting the fixed versus variable costs structure of a business.

Variable Costs

Costs that change in proportion to the level of production or sales activity, such as raw materials and direct labor.

Operating Income

Income earned from a firm's regular business operations, excluding deductions of interest and taxes.