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Find the Inverse of the Invertible Matrix [1415]\left[ \begin{array} { r r } 1 & 4 \\1 & - 5\end{array} \right]

Question 1

Multiple Choice

Find the inverse of the invertible matrix.
- [1415]\left[ \begin{array} { r r } 1 & 4 \\1 & - 5\end{array} \right]


A) [19491959]\left[ \begin{array} { c c } \frac { 1 } { 9 } & \frac { 4 } { 9 } \\ \frac { 1 } { 9 } & - \frac { 5 } { 9 } \end{array} \right]
B) [59491919]\left[ \begin{array} { c c } \frac { 5 } { 9 } & \frac { 4 } { 9 } \\ \frac { 1 } { 9 } & - \frac { 1 } { 9 } \end{array} \right]
C) [59491919]\left[ \begin{array} { r r } - \frac { 5 } { 9 } & - \frac { 4 } { 9 } \\ - \frac { 1 } { 9 } & \frac { 1 } { 9 } \end{array} \right]
D) [59491919]\left[ \begin{array} { c c } \frac { 5 } { 9 } & - \frac { 4 } { 9 } \\ \frac { 1 } { 9 } & \frac { 1 } { 9 } \end{array} \right]

Correct Answer:

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