Find the Inverse, If It Exists $$A = \left( \begin{array} { c c } \frac { 2 } { 9 } & - \frac { 1 } { 13 } \\- 26 & 9\end{array} \right)$$

question 17

Multiple Choice

Find the inverse, if it exists. $$A = \left( \begin{array} { c c } \frac { 2 } { 9 } & - \frac { 1 } { 13 } \\- 26 & 9\end{array} \right)$$

• A) \(A ^ { - 1 } = \left( \begin{array} { c c }
• - 26 & 13 \\
• - 5 & 9
• \end{array} \right)\)
• B) \(A ^ { - 1 } = \left( \begin{array} { c c }
• 1 & 9 \\
• 2 & - 1
• \end{array} \right)\)
• C) \(A ^ { - 1 } = \left( \begin{array} { l l }
• - 1 & 5 \\
• - 2 & 1
• \end{array} \right)\)
• D) \(A ^ { - 1 } = \left( \begin{array} { c c }
• 11 & 6 \\
• 13 & - 8
• \end{array} \right)\)
• E) \(\text { The inverse does not exist. }\)

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