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 10

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) . ​​ $$\left[ \begin{array} { c c } 1 & - 2 \\- 3 & 2\end{array} \right]$$ ​

• A)​ \[- \frac { 1 } { 4 } \left[ \begin{array} { c c }
• - 2 & - 2 \\
• 3 & 1
• \end{array} \right]\]
• B)​ \[- \frac { 1 } { 4 } \left[ \begin{array} { l l }
• - 2 & - 2 \\
• - 3 & - 1
• \end{array} \right]\]
• C)​ \[- \frac { 1 } { 4 } \left[ \begin{array} { l l }
• 2 & 2 \\
• 3 & 1
• \end{array} \right]\]
• D)​ \[- \frac { 1 } { 4 } \left[ \begin{array} { c c }
• - 2 & 2 \\
• 3 & - 1
• \end{array} \right]\]
• E)​ \[- \frac { 1 } { 4 } \left[ \begin{array} { c c }
• 2 & - 2 \\
• 3 & 1
• \end{array} \right]\]

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Definitions:

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A neurotransmitter in the brain essential for the reward system, motivation, pleasure, and motor function.