Find the Inverse of the Matrix A, If It Exists $$A = \left[ \begin{array} { l l l } 1 & 3 & 2 \\1 & 3 & 3 \\2 & 7 & 8\end{array} \right]$$

question 32

Multiple Choice

Find the inverse of the matrix A, if it exists.
- $$A = \left[ \begin{array} { l l l } 1 & 3 & 2 \\1 & 3 & 3 \\2 & 7 & 8\end{array} \right]$$

• A) \(A ^ { - 1 } = \left[ \begin{array} { l l l } 1 & \frac { 1 } { 3 } & \frac { 1 } { 2 } \\ 1 & \frac { 1 } { 3 } & \frac { 1 } { 3 } \\ \frac { 1 } { 2 } & \frac { 1 } { 7 } & \frac { 1 } { 8 } \end{array} \right] \quad\)
• B) \(A ^ { - 1 } = \left[ \begin{array} { r r r } - 3 & 10 & - 3 \\ 2 & - 4 & 1 \\ - 1 & 1 & 0 \end{array} \right]\)
• C) \(A ^ { - 1 } = \left[ \begin{array} { c c c } - 1 & - 3 & - 2 \\ - 1 & - 3 & - 3 \\ - 2 & - 7 & - 8 \end{array} \right]\)
• D) \(\mathrm { A } ^ { - 1 }\) does not exist.

---

Definitions:

Discrimination

Unfair or prejudicial treatment of individuals or groups based on characteristics such as race, gender, age, or religion.

Paid Sick Days

Days an employee is allowed to be absent from work due to illness and still receive pay.

Health Insurance

A type of insurance coverage that typically pays for medical, surgical, prescription drug, and sometimes dental expenses incurred by the insured.

Rural Community

A community located in a less populated, more agricultural or undeveloped area, often characterized by a closer connection to nature and traditional values.