Find the Inverse of the Matrix $$\left[ \begin{array} { l l l } 1 & 1 & 1 \\2 & 1 & 1 \\2 & 2 & 3\end{array} \right]$$

question 183

Multiple Choice

Find the inverse of the matrix.
- $$\left[ \begin{array} { l l l } 1 & 1 & 1 \\2 & 1 & 1 \\2 & 2 & 3\end{array} \right]$$

• A) \(\left[ \begin{array} { l l l } - 1 & - 1 & - 1 \\ - 2 & - 1 & - 1 \\ - 2 & - 2 & - 3 \end{array} \right]\)
• B) \(\left[ \begin{array} { r r r } - 1 & 1 & 0 \\ 4 & - 1 & - 1 \\ - 2 & 0 & 1 \end{array} \right]\)
• C) \(\left[ \begin{array} { c c c } 1 & 1 & 1 \\ \frac { 1 } { 2 } & 1 & 1 \\ \frac { 1 } { 2 } & \frac { 1 } { 2 } & \frac { 1 } { 3 } \end{array} \right]\)
• D) No inverse

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Definitions:

Hyperinflation

Runaway inflation; in the United States, double-digit inflation.

Monetary Policy

The process by which a central bank, like the Federal Reserve, controls the supply of money in an economy, often targeting inflation or employment levels.

Recessions

Periods of economic decline when GDP falls for two consecutive quarters, leading to a decrease in consumer spending and investment.

Government Surplus

A situation where the government's income, mainly from taxes, exceeds its expenditures within a specific timeframe, indicating fiscal health.