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

question 5

Multiple Choice

Find the inverse of the matrix. $$\left[ \begin{array} { c c } 1 & 2 \\- 2 & - 1\end{array} \right]$$

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

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Definitions:

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