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 128

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) . $\left[ \begin{array} { c c } 6 & 7 \\- 5 & 13\end{array} \right]$

• A) \(\frac { 1 } { 113 } \left[ \begin{array} { c c }
• 13 & - 7 \\
• 5 & 6
• \end{array} \right]\)
• B) \(\frac { 1 } { 113 } \left[ \begin{array} { c c }
• - 13 & 7 \\
• 5 & - 6
• \end{array} \right]\)
• C) \(\frac { 1 } { 113 } \left[ \begin{array} { c c }
• - 13 & - 7 \\
• 5 & 6
• \end{array} \right]\)
• D) \(\frac { 1 } { 113 } \left[ \begin{array} { c c }
• 13 & 7 \\
• 5 & 6
• \end{array} \right]\)
• E) \(\frac { 1 } { 113 } \left[ \begin{array} { c c }
• - 13 & - 7 \\
• - 5 & - 6
• \end{array} \right]\)

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