Find the Inverse of the Matrix $\left[ \begin{array} { c c } - 1 & 4 \\3 & - 2\end{array} \right]$

question 70

Multiple Choice

Find the inverse of the matrix $\left[ \begin{array} { c c } - 1 & 4 \\3 & - 2\end{array} \right]$ (if it exists) .

• A) \(- \frac { 1 } { - 10 } \left[ \begin{array} { l l }
• - 2 & - 4 \\
• - 3 & - 1
• \end{array} \right]\)
• B) \(- \frac { 1 } { - 10 } \left[ \begin{array} { c c }
• - 1 & 4 \\
• 3 & - 2
• \end{array} \right]\)
• C) \(\frac { 1 } { - 10 } \left[ \begin{array} { l l }
• - 2 & - 4 \\
• - 3 & - 1
• \end{array} \right]\)
• D) \(\frac { 1 } { - 10 } \left[ \begin{array} { l l }
• 2 & 4 \\
• 3 & 1
• \end{array} \right]\)
• E) does not exist

---

Definitions:

Sympathetic Nervous System

Part of the autonomic nervous system that activates what is often termed the fight or flight response.

Autonomic Nervous System

A component of the nervous system that controls involuntary functions such as heart rate and digestion.

Direct Effects

Immediate outcomes or impacts of an action, intervention, or phenomenon without the mediation of other factors.

Reactivity

The tendency of a person or system to be affected by external stimuli or conditions.