Given Matrix $A = \left[ \begin{array} { c c } 7 & 15 \\- 14 & 5\end{array} \right]$

question 24

Multiple Choice

Given matrix $A = \left[ \begin{array} { c c } 7 & 15 \\- 14 & 5\end{array} \right]$ . Find $A ^ { - 1 }$ the inverse matrix.

• A) \(A ^ { - 1 } = \left[ \begin{array} { c c }
• \frac { 1 } { 7 } & \frac { 1 } { 15 } \\\\
• - \frac { 1 } { 14 } & \frac { 1 } { 5 }
• \end{array} \right]\)
• B) \(A ^ { - 1 } = \left[ \begin{array} { c c }
• \frac { 1 } { 35 } & - \frac { 3 } { 49 } \\\\
• \frac { 2 } { 35 } & \frac { 1 } { 25 }
• \end{array} \right]\)
• C) \(A ^ { - 1 } = \left[ \begin{array} { c c }
• \frac { 1 } { 49 } & - \frac { 3 } { 49 } \\\\
• \frac { 2 } { 35 } & \frac { 1 } { 35 }
• \end{array} \right]\)
• D) \(A ^ { - 1 } = \left[ \begin{array} { c c }
• \frac { 2 } { 49 } & - \frac { 1 } { 49 } \\\\
• \frac { 1 } { 35 } & \frac { 3 } { 35 }
• \end{array} \right]\)
• E) \(A ^ { - 1 } = \left[ \begin{array} { c c }
• - \frac { 1 } { 49 } & \frac { 3 } { 49 } \\\\
• \frac { 2 } { 35 } & - \frac { 1 } { 35 }
• \end{array} \right]\)

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