Find the Inverse Matrix of A $$A = \left[ \begin{array} { r r r r } 3 & - 2 & 0 & 2 \\9 & - 4 & 0 & 4 \\6 & - 8 & 0 & 6 \\0 & 0 & - 3 & 0\end{array} \right]$$

question 4

Multiple Choice

Find the inverse matrix of A.
- $$A = \left[ \begin{array} { r r r r } 3 & - 2 & 0 & 2 \\9 & - 4 & 0 & 4 \\6 & - 8 & 0 & 6 \\0 & 0 & - 3 & 0\end{array} \right]$$

• A)
• \[\left[ \begin{array} { c c c c }
• \frac { 1 } { 3 } & - \frac { 1 } { 2 } & 0 & \frac { 1 } { 2 } \\
• \frac { 1 } { 9 } & - \frac { 1 } { 4 } & 0 & \frac { 1 } { 4 } \\
• \frac { 1 } { 6 } & - \frac { 1 } { 8 } & 0 & \frac { 1 } { 6 } \\
• 0 & 0 & - \frac { 1 } { 3 } & 0
• \end{array} \right]\]
• B)
• \[\left[ \begin{array} { r r r r }
• - \frac { 2 } { 3 } & \frac { 5 } { 2 } & 0 & 4 \\
• \frac { 1 } { 3 } & - \frac { 1 } { 2 } & 0 & - 1 \\
• 0 & - \frac { 1 } { 2 } & 0 & - \frac { 1 } { 2 } \\
• 0 & 0 & - \frac { 1 } { 3 } & 0
• \end{array} \right]\]
• C)
• \[\left[ \begin{array} { r r r r }
• - \frac { 2 } { 3 } & \frac { 5 } { 2 } & 0 & 4 \\
• \frac { 1 } { 3 } & - \frac { 1 } { 2 } & - 1 & - 1 \\
• 0 & - \frac { 1 } { 2 } & 0 & - \frac { 1 } { 2 } \\
• 0 & 2 & - \frac { 1 } { 3 } & 0
• \end{array} \right]\]
• D)
• \(\left[\begin{array}{rrrr}
• -\frac{2}{3} & \frac{1}{3} & 0 & 0 \\
• \frac{5}{2} & -\frac{1}{2} & -\frac{1}{2} & 0 \\
• 0 & 0 & 0 & -\frac{1}{3} \\
• 4 & -1 & -\frac{1}{2} & 0
• \end{array}\right]\)

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