The inverse matrix of \( \begin{pmatrix} \frac{4}{5}&\frac{5}{12}\\\frac{2}{5}&\frac{1}{2} \end{pmatrix}\) is
(a) \(\frac{7}{30}\)\( \begin{pmatrix} \frac{1}{2}&\frac{5}{12}\\\frac{2}{5}&\frac{4}{5} \end{pmatrix}\)
(b) \(\frac{7}{30}\)\( \begin{pmatrix} \frac{1}{2}&\frac{-5}{12}\\\frac{-2}{5}&\frac{1}{5} \end{pmatrix}\)
(c) \(\frac{30}{7}\)\( \begin{pmatrix} \frac{1}{2}&\frac{5}{12}\\\frac{2}{5}&\frac{4}{5} \end{pmatrix}\)
(d) \(\frac{30}{7}\)\( \begin{pmatrix} \frac{1}{2}&\frac{-5}{12}\\\frac{-2}{5}&\frac{4}{5} \end{pmatrix}\)