Find the Inverse of A $$A = \left[ \begin{array} { c c } 2 & 3 \\- 4 & 1\end{array} \right]$$

question 35

Multiple Choice

Find the inverse of A.​ $$A = \left[ \begin{array} { c c } 2 & 3 \\- 4 & 1\end{array} \right]$$ ​

• A)​ \[A ^ { - 1 } = \left[ \begin{array} { c c }
• \frac { 1 } { 7 } & - \frac { 3 } { 7 } \\\\
• \frac { 2 } { 7 } & \frac { 1 } { 7 }
• \end{array} \right]\]
• B)​ \[A ^ { - 1 } = \left[ \begin{array} { c c }
• \frac { 1 } { 14 } & - \frac { 3 } { 14 } \\\\
• \frac { 2 } { 7 } & \frac { 1 } { 7 }
• \end{array} \right]\]
• C)​ \[A ^ { - 1 } = \left[ \begin{array} { c c }
• \frac { 1 } { 14 } & - \frac { 3 } { 7 } \\\\
• \frac { 2 } { 7 } & \frac { 1 } { 14 }
• \end{array} \right]\]
• D)​ \[A ^ { - 1 } = \left[ \begin{array} { c c }
• \frac { 1 } { 14 } & \frac { 3 } { 14 } \\
• \frac { 2 } { 7 } & \frac { 1 } { 7 }
• \end{array} \right]\]
• E)​ \[A ^ { - 1 } = \left[ \begin{array} { c c }
• \frac { 1 } { 7 } & - \frac { 3 } { 7 } \\
• \frac { 2 } { 14 } & \frac { 1 } { 14 }
• \end{array} \right]\]

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Definitions:

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