Find the Matrix Product When Possible A) $$\left[ \begin{array} { r r } - 12 & - 6 \\25 & - 9\end{array} \right]$$

question 327

Multiple Choice

Find the matrix product when possible.
- $$\left[ \begin{array} { r r r } 1 & 3 & - 3 \\3 & 0 & 5\end{array} \right] \left[ \begin{array} { r r } 3 & 0 \\- 3 & 1 \\0 & 5\end{array} \right]$$

• A)
• \[\left[ \begin{array} { r r }
• - 12 & - 6 \\
• 25 & - 9
• \end{array} \right]\]
• B) They cannot be multiplied.
• C)
• \[\left[ \begin{array} { r r r }
• 3 & 3 & 0 \\
• 0 & 0 & 25
• \end{array} \right]\]
• D)
• \[\left[ \begin{array} { r r }
• - 6 & - 12 \\
• 9 & 25
• \end{array} \right]\]

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Definitions:

Present Value

The actual value now of future money amounts or cash inflows based on a defined rate of yield.

Earnings Rate

The rate at which a company or investment generates income, usually expressed as a percentage of the investment or the company's capital.

Compound Interest

Interest on a deposit or loan that is calculated based on the initial amount along with the total of all interest accumulated in earlier periods.

Present Value Index

A financial calculation that allows the comparison of the present value of cash inflows to the present value of cash outflows.