Find the Inverse, If It Exists, for the Matrix $\left[ \begin{array} { r r } 2 & - 3 \\ - 4 & 6 \end{array} \right]$

question 109

Multiple Choice

Find the inverse, if it exists, for the matrix.
- $\left[ \begin{array} { r r } 2 & - 3 \\ - 4 & 6 \end{array} \right]$

• A) The inverse does not exist.
• B)\(\left[\begin{array}{c}
• \frac{1}{3}-\frac{1}{6} \\
• -\frac{2}{9} \quad \frac{1}{9}
• \end{array}\right]\)
• C)
• \[\left[ \begin{array} { l l }
• \frac { 2 } { 9 } & \frac { 1 } { 9 } \\
• \frac { 1 } { 3 } & \frac { 1 } { 6 }
• \end{array} \right]\]
• D)
• \[\left[ \begin{array} { l l }
• \frac { 1 } { 3 } & \frac { 1 } { 6 } \\
• \frac { 2 } { 9 } & \frac { 1 } { 9 }
• \end{array} \right]\]

---

Definitions:

Delusions of Reference

The false belief that insignificant events, objects, or behaviors of others have a direct, personal significance to oneself.

Evening News

A television broadcast typically scheduled in the early evening that presents the day's important domestic and international news stories.

Television Studio

A facility equipped for producing television programs, broadcasts, or recordings, typically including both production and post-production equipment.

Auditory Hallucinations

Hearing voices or sounds that are not actually present, often associated with certain mental health conditions.