Perform the Elementary Row Operation on the Given Matrix $$- \frac { 1 } { 2 } R _ { 2 } \rightarrow R _ { 2 }$$

question 101

Multiple Choice

Perform the elementary row operation on the given matrix.
- $$- \frac { 1 } { 2 } R _ { 2 } \rightarrow R _ { 2 }$$
$$\left[ \begin{array} { r r | r } 9 & 11 & 1 \\16 & 32 & 20\end{array} \right]$$

• A) \( \left[\begin{array}{rr|r}9 & 11 & 1 \\ -8 & -16 & -10\end{array}\right] \)
• B) \( \left[\begin{array}{ll|r}9 & 11 & 1 \\ 8 & 16 & 10\end{array}\right] \)
• C) \( \left[\begin{array}{rr|r}18 & 22 & 2 \\ 16 & 32 & 20\end{array}\right] \)
• D) \( \left[\begin{array}{rr|r}9 & 11 & 1 \\ 32 & 64 & 40\end{array}\right] \)

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Definitions:

Decrease Assets

The reduction in the value or amount of the resources owned by a company, which can result from sales, disposal, or depreciation.

Accounting Equation

The fundamental equation underpinning the double-entry bookkeeping system: Assets = Liabilities + Equity.

Liabilities

The financial liabilities a firm has towards other parties, necessitating reimbursement through the provision of economic gains over a specified duration.

Increase Assets

An action or transaction that results in a rise in the total value of assets owned by an individual or entity.