Find the Inverse of the Matrix, If It Exists $\left[ \begin{array} { r r } \frac { 1 } { 2 } & 4 \\8 & - 1\end{array} \right]$

question 106

Essay

Find the inverse of the matrix, if it exists. $\left[ \begin{array} { r r } \frac { 1 } { 2 } & 4 \\8 & - 1\end{array} \right]$

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Definitions:

Cerebellum

The cerebellum is a major structure of the brain involved in motor control, coordination, precision, and accurate timing, playing a significant role in fine-tuning movements and balance.

Brain Stem

The most inferior part of the brain, connecting the cerebrum with the spinal cord and controlling fundamental life-sustaining functions like breathing and heart rate.

Medulla

The inner region of an organ or the medulla oblongata, a part of the brainstem involved in autonomic functions.

Pons

A part of the brain stem that links the medulla oblongata and the thalamus, involved in regulating breathing and other functions.