Determine the Inverse of the Given Matrix, If Possible $$A = \left[ \begin{array} { l l } - 3 & 4 \\- 5 & 3\end{array} \right]$$

question 10

Multiple Choice

Determine the inverse of the given matrix, if possible. Otherwise, state the matrix is singular.
- $$A = \left[ \begin{array} { l l } - 3 & 4 \\- 5 & 3\end{array} \right]$$

• A) \(A ^ { - 1 } = \left[ \begin{array} { c c } \frac { 3 } { 11 } & \frac { 4 } { 11 } \\ - \frac { 5 } { 11 } & - \frac { 3 } { 11 } \end{array} \right]\)
• B) \(A ^ { - 1 } = \left[ \begin{array} { c c } \frac { 3 } { 11 } & - \frac { 4 } { 11 } \\ \frac { 5 } { 11 } & - \frac { 3 } { 11 } \end{array} \right]\)
• C) Singular matrix
• D) \(A ^ { - 1 } = \left[ \begin{array} { c c } - \frac { 3 } { 11 } & \frac { 4 } { 11 } \\ - \frac { 5 } { 11 } & \frac { 3 } { 11 } \end{array} \right]\)

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