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

question 63

Multiple Choice

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

• A) \(\left[ \begin{array} { r r r } - 3 & 10 & - 3 \\ 2 & - 4 & 1 \\ - 1 & 1 & 0 \end{array} \right]\)
• B) \(\left[ \begin{array} { r r r } - 3 & 10 & - 3 \\ 2 & - 4 & 0 \\ - 1 & - 1 & 1 \end{array} \right]\)
• C) \(\left[ \begin{array} { c c c } 1 & \frac { 1 } { 3 } & \frac { 1 } { 2 } \\ 1 & \frac { 1 } { 3 } & \frac { 1 } { 3 } \\ \frac { 1 } { 2 } & \frac { 1 } { 7 } & \frac { 1 } { 8 } \end{array} \right]\)
• D) \(\left[ \begin{array} { l l l } - 1 & - 3 & - 2 \\ - 1 & - 3 & - 3 \\ - 2 & - 7 & - 8 \end{array} \right]\)

---

Definitions:

Southern Patriarchal Society

A societal structure prevalent in the American South characterized by male dominance, traditional family values, and hierarchical social orders.

Institution of Slavery

A legally or socially sanctioned system of forced labor in which individuals are owned, managed, and traded by others.

Social Standing

The position or rank of a person or group within society, influenced by factors like wealth, occupation, and education.

Emerson

Ralph Waldo Emerson, a 19th-century American essayist, lecturer, philosopher, and poet who led the transcendentalist movement, focusing on individuality and nature.