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:

Ledger

A book or computer file for recording and totaling economic transactions measured in terms of a monetary unit of account by account type, with debits and credits.

Shareholders' Equity

The residual interest in the assets of a corporation after deducting its liabilities, representing ownership interest.

Dividends Declared

Dividends declared are profits a company announces it will distribute to its shareholders, indicating when and how much will be paid out.

Liabilities

Financial obligations or debts that a company owes to others, which must be settled over time through the transfer of economic benefits.