Use the Inverse Formula $$A ^ { - 1 } = \frac { 1 } { a d - b c } \left[ \begin{array} { c c } d & - b \\- c & a\end{array} \right]$$

question 44

Multiple Choice

Use the inverse formula $$A ^ { - 1 } = \frac { 1 } { a d - b c } \left[ \begin{array} { c c } d & - b \\- c & a\end{array} \right]$$ to find the inverse of the 2×2 matrix (if it exists) . ​​ $$\left[ \begin{array} { c c } - 12 & 3 \\5 & 2\end{array} \right]$$ ​

• A)​ \[- \frac { 1 } { 39 } \left[ \begin{array} { c c }
• 2 & - 3 \\
• - 5 & - 12
• \end{array} \right]\]
• B)​ \[- \frac { 1 } { 39 } \left[ \begin{array} { c c }
• - 2 & - 3 \\
• 5 & 12
• \end{array} \right]\]
• C)​ \[- \frac { 1 } { 39 } \left[ \begin{array} { c c }
• - 2 & 3 \\
• 5 & - 12
• \end{array} \right]\]
• D)​ \[- \frac { 1 } { 39 } \left[ \begin{array} { c c }
• 2 & - 3 \\
• 5 & 12
• \end{array} \right]\]
• E)​ \[- \frac { 1 } { 39 } \left[ \begin{array} { l l }
• - 2 & - 3 \\
• - 5 & - 12
• \end{array} \right]\]

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Definitions:

External Respiration

The exchange of gases between the atmosphere and the blood through the lung alveoli.

Pseudostratified Ciliated Columnar Epithelium

A type of epithelial tissue composed of irregularly shaped cells that appear to be stratified but are actually a single layer with cilia on their surface, commonly found lining the respiratory tract.

Goblet Cells

are mucus-secreting cells found in the epithelial linings of respiratory and intestinal tracts, helping to protect and lubricate the surfaces.

Epithelial Tissue

One of the four basic types of tissue, forming the protective covering or lining of many body surfaces and cavities.