Find the Inverse of a If It Has One, or State

question 267

Multiple Choice

Find the inverse of A if it has one, or state that the inverse does not exist.
- $$A = \left[ \begin{array} { r r r } - 4 & 0 & 0 \\0 & - 1 & 0 \\0 & 0 & 2\end{array} \right]$$

• A) Inverse does not exist
• B)
• \[\left[ \begin{array} { c c c }
• \frac { 1 } { - 4 } & 0 & 0 \\
• 0 & - 1 & 0 \\
• 0 & 0 & \frac { 1 } { 2 }
• \end{array} \right]\]
• C)
• \[\left[ \begin{array} { c c c }
• 0 & 0 & \frac { 1 } { - 4 } \\
• 0 & - 1 & 0 \\
• \frac { 1 } { 2 } & 0 & 0
• \end{array} \right]\]
• D)
• \[\left[ \begin{array} { r r r }
• 4 & 0 & 0 \\
• 0 & 1 & 0 \\
• 0 & 0 & - 2
• \end{array} \right]\]

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