Find Inverse of the Matrix $\left[ \begin{array} { l l l } 2 & 2 & 0 \\0 & 2 & 0 \\1 & 0 & 1\end{array} \right]$

question 2

Multiple Choice

Find inverse of the matrix. $\left[ \begin{array} { l l l } 2 & 2 & 0 \\0 & 2 & 0 \\1 & 0 & 1\end{array} \right]$

• A) \(\left[ \begin{array} { c c c }
• 2 & - 2 & 0 \\
• 0 & 2 & 0 \\
• - 2 & 1 / 2 & 1
• \end{array} \right]\)
• B) \(\left[ \begin{array} { c c c }
• 2 & - 1 / 2 & 0 \\
• 1 & 2 & 0 \\
• - 2 & 1 / 2 & 1
• \end{array} \right]\)
• C) \(\left[ \begin{array} { c c c }
• 1 & - 1 & 1 \\
• 0 & 1 / 2 & 0 \\
• - 1 & 1 / 2 & 1
• \end{array} \right]\)
• D) \(\left[ \begin{array} { c c c }
• 1 / 2 & - 1 / 2 & 0 \\
• 0 & 1 / 2 & 0 \\
• - 1 / 2 & 1 / 2 & 1
• \end{array} \right]\)
• E) none

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Definitions:

Spinal Cord

A long, thin, tubular structure made up of nervous tissue, which extends from the brainstem down the back and transmits neural signals between the brain and the rest of the body.

Cross-Sectional View

Provides a view of an object as if it were sliced perpendicularly to show its internal structure.

White Matter

Brain and spinal cord tissue consisting mainly of myelinated nerve fibers that transmit signals.

Gray Matter

Regions of the brain and spinal cord that are primarily made up of neuronal cell bodies, dendrites, and unmyelinated axons, involved in muscle control and sensory perception.