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

question 78

Multiple Choice

Find the inverse of A if it has one, or state that the inverse does not exist.
- $$A = \left[ \begin{array} { l l } - 5 & 0 \\- 2 & 4\end{array} \right]$$

• A) \(\left[ \begin{array} { c c } \frac { 1 } { 5 } & 0 \\ - \frac { 1 } { 10 } & \frac { 1 } { 4 } \end{array} \right]\)
• B)
• \[\left[ \begin{array} { r r }
• \frac { 1 } { 4 } & 0 \\
• - \frac { 1 } { 10 } & - \frac { 1 } { 5 }
• \end{array} \right]\]
• C) Inverse does not exist
• D)
• \[\left[ \begin{array} { c c }
• - \frac { 1 } { 5 } & 0 \\
• \frac { 1 } { 10 } & \frac { 1 } { 4 }
• \end{array} \right]\]

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Definitions:

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