Find the Inverse of the Matrix If It Exists $$\left[ \begin{array} { l l l } 2 & 0 & 0 \\0 & 9 & 0 \\0 & 0 & 8\end{array} \right]$$

question 8

Multiple Choice

Find the inverse of the matrix if it exists. $$\left[ \begin{array} { l l l } 2 & 0 & 0 \\0 & 9 & 0 \\0 & 0 & 8\end{array} \right]$$

• A) \[\left[ \begin{array} { c c c }
• 1 & \frac { 1 } { 9 } & 1 \\
• \frac { 1 } { 8 } & 0 & - 2 \\
• 0 & 1 & \frac { 1 } { 2 }
• \end{array} \right]\]
• B) \[\left[ \begin{array} { c c c }
• \frac { 1 } { 2 } & 0 & 0 \\
• 0 & \frac { 1 } { 9 } & 0 \\
• 0 & 0 & \frac { 1 } { 9 }
• \end{array} \right]\]
• C) \[\left[ \begin{array} { c c c }
• 0 & 0 & \frac { 1 } { 2 } \\
• 0 & \frac { 1 } { 8 } & 0 \\
• \frac { 1 } { 9 } & 0 & 0
• \end{array} \right]\]
• D) \[\left[ \begin{array} { c c c }
• \frac { 1 } { 2 } & 0 & 0 \\
• 0 & \frac { 1 } { 9 } & 0 \\
• 0 & 0 & \frac { 1 } { 8 }
• \end{array} \right]\]
• E) Does not exist

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