Find the Inverse of the Matrix A, If It Exists $$A = \left[ \begin{array} { r r r } 8 & - 4 & 2 \\11 & - 7 & 4 \\3 & - 3 & 2\end{array} \right]$$

question 61

Multiple Choice

Find the inverse of the matrix A, if it exists.
- $$A = \left[ \begin{array} { r r r } 8 & - 4 & 2 \\11 & - 7 & 4 \\3 & - 3 & 2\end{array} \right]$$

• A) \(A ^ { - 1 }\) does not exist.
• B) \[\text { } A ^ { - 1 } = \left[ \begin{array} { c c c }
• \frac { 1 } { 8 } & \frac { 1 } { 11 } & \frac { 1 } { 2 } \\
• \frac { 1 } { 11 } & - \frac { 1 } { 7 } & \frac { 1 } { 4 } \\
• \frac { 1 } { 3 } & - \frac { 1 } { 3 } & \frac { 1 } { 2 }
• \end{array} \right]\]
• C) \(A ^ { - 1 } = \left[ \begin{array} { c c c } \frac { 2 } { 11 } & \frac { 2 } { 11 } & - 2 \\ \frac { 3 } { 11 } & \frac { 8 } { 7 } & 2 \\ \frac { 8 } { 3 } & - \frac { 2 } { 3 } & \frac { 1 } { 2 } \end{array} \right]\)
• D) \(\mathrm { A } ^ { - 1 } = \left[ \begin{array} { r r r } 8 & 11 & 3 \\ - 4 & - 7 & - 3 \\ 2 & 4 & 2 \end{array} \right]\)

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