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) \( \left[\begin{array}{ll|l}3 & 0 & 15 \\ 0 & 0 & 11\end{array}\right] \)

---

Definitions:

Animal Foods

Edible products derived from animals, including meat, poultry, seafood, dairy products, and eggs, consumed by humans for nutrition.

Low-Tyramine Diet

is a dietary restriction plan designed to avoid foods high in tyramine, often recommended for individuals taking certain medications or with specific health conditions.

High-Fiber Diet

A diet rich in dietary fibers found in fruits, vegetables, whole grains, and legumes, beneficial for digestive health and preventing constipation.

Low-Sodium Diet

A dietary plan that limits the intake of sodium, beneficial for individuals with certain health conditions like high blood pressure.