Find the Inverse of the Matrix $$\left[ \begin{array} { r r } 3 & 0 \\1 & - 1\end{array} \right]$$

question 110

Multiple Choice

Find the inverse of the matrix.
- $$\left[ \begin{array} { r r } 3 & 0 \\1 & - 1\end{array} \right]$$

• A) \(\left[ \begin{array} { c c } - 1 & 0 \\ \frac { 1 } { 3 } & \frac { 1 } { 3 } \end{array} \right]\)
• B) \(\left[ \begin{array} { c c } \frac { 1 } { 3 } & 0 \\ - \frac { 1 } { 3 } & - 1 \end{array} \right]\)
• C) \(\left[ \begin{array} { c c } \frac { 1 } { 3 } & 0 \\ \frac { 1 } { 3 } & - 1 \end{array} \right]\)
• D) No inverse

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Definitions:

Reserve Requirements

Regulations set by central banks regarding the minimum amount of reserves that banks must hold against deposits.

Monetary Policy

The process by which a central bank controls the supply of money in an economy, typically to achieve objectives like controlling inflation or promoting growth.

Negative Excess Reserves

A situation where banks have less reserves than the required minimum, potentially leading to liquidity problems.

Federal Funds Market

The Federal Funds Market is a financial market that allows banks to borrow or lend excess reserves to each other on an overnight basis, with interest rates known as the federal funds rate.