Determine the Inverse of the Given Matrix, If Possible $$A = \left[ \begin{array} { r r r } 4 & - 1 & 5 \\1 & 1 & - 2 \\- 1 & 1 & 0\end{array} \right]$$

question 20

Multiple Choice

Determine the inverse of the given matrix, if possible. Otherwise, state the matrix is singular.
- $$A = \left[ \begin{array} { r r r } 4 & - 1 & 5 \\1 & 1 & - 2 \\- 1 & 1 & 0\end{array} \right]$$

• A) \(A ^ { - 1 } = \left[ \begin{array} { c c c } \frac { 1 } { 8 } & \frac { 5 } { 16 } & - \frac { 3 } { 16 } \\ \frac { 1 } { 8 } & \frac { 5 } { 16 } & \frac { 13 } { 16 } \\ \frac { 1 } { 8 } & - \frac { 3 } { 16 } & - \frac { 5 } { 16 } \end{array} \right]\)
• B) Singular matrix
• C) \(A ^ { - 1 } = \left[ \begin{array} { c c c } - \frac { 1 } { 8 } & \frac { 5 } { 16 } & - \frac { 3 } { 16 } \\ - \frac { 1 } { 8 } & \frac { 5 } { 16 } & \frac { 13 } { 16 } \\ - \frac { 1 } { 8 } & - \frac { 3 } { 16 } & \frac { 5 } { 16 } \end{array} \right]\)
• D) \(A ^ { - 1 } = \left[ \begin{array} { c c c } \frac { 1 } { 8 } & \frac { 5 } { 16 } & - \frac { 3 } { 16 } \\ \frac { 1 } { 8 } & \frac { 5 } { 16 } & \frac { 13 } { 16 } \\ \frac { 1 } { 8 } & - \frac { 3 } { 16 } & \frac { 5 } { 16 } \end{array} \right]\)

Understand the relationship between the money supply, demand, and the value of money.

Describe the impact of monetary policy decisions by the Federal Reserve on the economy.

Explain the concepts of inflation, deflation, and how they are measured.

Understand the quantity theory of money and its implications for the economy.

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