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

Find the inverse of the matrix $\left[ \begin{array} { c c } 4 & - 5 \\ 1 & 5 \end{array} \right]$ (if it exists) .

A) $- \frac { 1 } { 25 } \left[ \begin{array} { c c } 5 & 5 \\ - 1 & 4 \end{array} \right]$
B) $\frac { 1 } { 25 } \left[ \begin{array} { c c } 5 & 5 \\ - 1 & 4 \end{array} \right]$
C) $\frac { 1 } { 25 } \left[ \begin{array} { c c } - 5 & - 5 \\ 1 & - 4 \end{array} \right]$
D) $\frac { 1 } { 25 } \left[ \begin{array} { c c } 4 & - 5 \\ 1 & 5 \end{array} \right]$
E) does not exist

Correct Answer:

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