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

question 49

Multiple Choice

Find the inverse of the matrix $$\left[ \begin{array} { c c } - 1 & 4 \\3 & - 2\end{array} \right]$$ (if it exists) .

• A)​ \[- \frac { 1 } { - 10 } \left[ \begin{array} { l l }
• - 2 & - 4 \\
• - 3 & - 1
• \end{array} \right]\]
• B) \[- \frac { 1 } { - 10 } \left[ \begin{array} { c c }
• - 1 & 4 \\
• 3 & - 2
• \end{array} \right]\]
• C)​ \[\frac { 1 } { - 10 } \left[ \begin{array} { l l }
• - 2 & - 4 \\
• - 3 & - 1
• \end{array} \right]\]
• D)​ \[\frac { 1 } { - 10 } \left[ \begin{array} { l l }
• 2 & 4 \\
• 3 & 1
• \end{array} \right]\]
• E)​does not exist

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