Find the Inverse of the Matrix A, If It Exists $$A = \left[ \begin{array} { r r r } 0 & 3 & 3 \\- 1 & 0 & 4 \\0 & 7 & 0\end{array} \right]$$

question 56

Multiple Choice

Find the inverse of the matrix A, if it exists.
- $$A = \left[ \begin{array} { r r r } 0 & 3 & 3 \\- 1 & 0 & 4 \\0 & 7 & 0\end{array} \right]$$

• A) \(A ^ { - 1 }\) does not exist.
• B) \(A ^ { - 1 } = \left[ \begin{array} { c c c } - \frac { 3 } { 3 } & - 1 & - \frac { 7 } { 7 } \\ - \frac { 1 } { 7 } & 0 & \frac { 1 } { 7 } \\ \frac { 1 } { 3 } & 0 & 0 \end{array} \right]\)
• C) \(A ^ { - 1 } = \left[ \begin{array} { r r r } \frac { 4 } { 3 } & 0 & \frac { 1 } { 3 } \\ - 1 & 0 & 0 \\ - \frac { 4 } { 7 } & \frac { 1 } { 7 } & - \frac { 1 } { 7 } \end{array} \right]\)
• D) \(A ^ { - 1 } = \left[ \begin{array} { c c r } \frac { 4 } { 3 } & - 1 & - \frac { 4 } { 7 } \\ 0 & 0 & \frac { 1 } { 7 } \\ \frac { 1 } { 3 } & 0 & - \frac { 1 } { 7 } \end{array} \right]\)

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