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

question 9

Multiple Choice

Find the inverse of the matrix. $$\left[ \begin{array} { c c c } 4 & 1 & - 1 \\4 & 4 & - 1 \\- 1 & - 1 & 1\end{array} \right]$$

• A)\(\left[ \begin{array} { c c c } \frac { 1 } { 3 } & 1 & \frac { 1 } { 3 } \\ - \frac { 1 } { 3 } & \frac { 1 } { 3 } & 0 \\ - 5 & \frac { 1 } { 3 } & \frac { 4 } { 3 } \end{array} \right] \quad\)
• B) \(\left[ \begin{array} { c c c } - \frac { 1 } { 3 } & 0 & \frac { 1 } { 3 } \\ \frac { 1 } { 3 } & \frac { 1 } { 3 } & 0 \\ 0 & \frac { 1 } { 3 } & \frac { 4 } { 3 } \end{array} \right]\)
• C) \(\left[ \begin{array} { c c c } \frac { 1 } { 3 } & 0 & \frac { 1 } { 3 } \\ - \frac { 1 } { 3 } & \frac { 1 } { 3 } & 0 \\ 0 & \frac { 1 } { 3 } & \frac { 4 } { 3 } \end{array} \right]\)
• D) \(\quad \left[ \begin{array} { c c c } \frac { 1 } { 3 } & 0 & \frac { 1 } { 3 } \\ \frac { 1 } { 3 } & - \frac { 1 } { 3 } & 0 \\ 0 & \frac { 1 } { 3 } & \frac { 4 } { 3 } \end{array} \right]\)
• E) \(\left[ \begin{array} { c c c } - \frac { 1 } { 3 } & 0 & \frac { 1 } { 3 } \\ - \frac { 1 } { 3 } & \frac { 1 } { 3 } & 0 \\ 0 & \frac { 1 } { 3 } & \frac { 4 } { 3 } \end{array} \right]\)

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