Find the Inverse, If It Exists, for the Matrix $$\left[ \begin{array} { r r r } 0 & 5 & 5 \\- 5 & 0 & 5 \\0 & 8 & 0\end{array} \right]$$

question 417

Multiple Choice

Find the inverse, if it exists, for the matrix.
- $$\left[ \begin{array} { r r r } 0 & 5 & 5 \\- 5 & 0 & 5 \\0 & 8 & 0\end{array} \right]$$

• A)
• \[\left[ \begin{array} { r r r }
• \frac { 1 } { 5 } & 0 & \frac { 1 } { 5 } \\
• - \frac { 1 } { 5 } & 0 & 0 \\
• - \frac { 1 } { 8 } & \frac { 1 } { 8 } & - \frac { 1 } { 8 }
• \end{array} \right]\]
• B)
• \[\left[ \begin{array} { r r r }
• \frac { 1 } { 5 } & - \frac { 1 } { 5 } & - \frac { 1 } { 8 } \\
• 0 & 0 & \frac { 1 } { 8 } \\
• \frac { 1 } { 5 } & 0 & - \frac { 1 } { 8 }
• \end{array} \right]\]
• C) The inverse does not exist.
• D)
• \[\left[ \begin{array} { c c c }
• - \frac { 1 } { 5 } & - \frac { 1 } { 5 } & - \frac { 1 } { 8 } \\
• - \frac { 1 } { 8 } & 0 & \frac { 1 } { 8 } \\
• \frac { 1 } { 5 } & 0 & 0
• \end{array} \right]\]

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