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

question 8

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:

Partial Pressures

The pressure that a single gas in a mixture of gases would exert if it alone occupied the entire volume of the mixture.

Total Pressure

The combined pressure exerted by a mixture of gases in a container, equal to the sum of the pressures that each gas would exert if it were alone.

Gases

States of matter consisting of particles that have neither a defined volume nor shape, able to expand freely to fill any space available, such as oxygen and nitrogen.

Pulmonary Emphysema

A chronic respiratory disease where the air sacs (alveoli) in the lungs are damaged, leading to breathlessness.