Find the Matrix Product When Possible $A = \left[ \begin{array} { l l } 2 & - 3 \\ 3 & - 4 \end{array} \right]$

question 492

Multiple Choice

Find the matrix product when possible.
-Given $A = \left[ \begin{array} { l l } 2 & - 3 \\ 3 & - 4 \end{array} \right]$ , find $A ^ { 3 }$

• A)
• \(\left[ \begin{array} { r r } 8 & - 27 \\ 27 & - 64 \end{array} \right]\)
• B)
• \(\left[ \begin{array} { r r } 80 & - 111 \\ 111 & - 154 \end{array} \right]\)
• C)
• \(\left[ \begin{array} { r r } 8 & - 9 \\ 9 & - 10 \end{array} \right]\)
• D)
• \(\left[ \begin{array} { r r } - 28 & - 33 \\ 87 & 59 \end{array} \right]\)

---

Definitions:

Profit Margin

A financial ratio indicating the percentage of revenue that remains as profit after all expenses are deducted.

Investment Turnover

A measure of a company's efficiency in using its assets to generate sales or revenue; calculated by dividing sales over a period by the average investment.

Profit Margin

A financial metric that measures the amount of net income earned with each dollar of sales by comparing net income and net sales.

Investment Turnover

A measure of a company's efficiency in using its assets to generate sales or revenue; the ratio of the cost of goods sold to the average inventory.