Use the Inverse Formula $$A ^ { - 1 } = \frac { 1 } { a d - b c } \left[ \begin{array} { c c } d & - b \\- c & a\end{array} \right]$$

question 8

Multiple Choice

Use the inverse formula $$A ^ { - 1 } = \frac { 1 } { a d - b c } \left[ \begin{array} { c c } d & - b \\- c & a\end{array} \right]$$ to find the inverse of the 2×2 matrix (if it exists) . ​​ $$\left[ \begin{array} { l l } 2 & 3 \\1 & 5\end{array} \right]$$ ​

• A)​ \[\frac { 1 } { 7 } \left[ \begin{array} { l l }
• 5 & 3 \\
• 1 & 2
• \end{array} \right]\]
• B)​ \[\frac { 1 } { 7 } \left[ \begin{array} { c c }
• - 5 & - 3 \\
• 1 & 2
• \end{array} \right]\]
• C)​ \[\frac { 1 } { 7 } \left[ \begin{array} { c c }
• - 5 & 3 \\
• 1 & - 2
• \end{array} \right]\]
• D)​ \[\frac { 1 } { 7 } \left[ \begin{array} { c c }
• 5 & - 3 \\
• - 1 & 2
• \end{array} \right]\]
• E)​ \[\frac { 1 } { 7 } \left[ \begin{array} { l l }
• - 5 & - 3 \\
• - 1 & - 2
• \end{array} \right]\]

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Definitions:

Fixed Manufacturing Overhead

The set costs associated with producing goods that do not change with the level of output, including salaries, rent, and insurance.

Net Operating Income

A financial metric that shows the profitability of a company's core business activities, excluding the effects of financing and investment income.

Segment Margin

The amount of profit or loss generated by a particular segment of a business, after accounting for traceable costs and expenses.

Traceable Fixed Expenses

Fixed costs that can be directly tied to a specific segment, department, or product, and would disappear if the segment, department, or product were eliminated.