Use the Indicated Row Operation to Change the Matrix $R_{2}$

question 45

Multiple Choice

Use the indicated row operation to change the matrix.
-Replace $R_{2}$ by $\frac{1}{3} R_{1}+\frac{1}{2} R_{2}$ .
$\left[\begin{array}{rr|r}3 & 0 & 15 \\ -2 & 4 & 12\end{array}\right]$

• A) \( \left[\begin{array}{ll|l}3 & 0 & 15 \\ 0 & 2 & 11\end{array}\right] \)
• B) \( \left[\begin{array}{rr|r}3 & 0 & 15 \\ -1 & 2 & 6\end{array}\right] \)
• C) \( \left[\begin{array}{ll|l}3 & 0 & 15 \\ 1 & 4 & 27\end{array}\right] \)
• D) \( \left[\begin{array}{ll|l}3 & 0 & 15 \\ 0 & 0 & 11\end{array}\right] \)

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Definitions:

Effective Yield

The total yield of an investment after accounting for compounding interest, often expressed on an annual basis.

Perpetuity

A financial term referring to a type of annuity that pays a series of payments indefinitely, with no end.

10-Year Bond

A financial instrument issued by governments or corporations promising to pay back borrowed funds with interest over a ten-year period.

Perpetuities

Financial instruments or investments that provide a never-ending stream of cash flows with no expiration date.