1.

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) \(\frac{30}{7}\)\( \begin{pmatrix} \frac{1}{2}&\frac{-5}{12}\\\frac{-2}{5}&\frac{4}{5} \end{pmatrix}\)

Answer»

(c) \(\frac{30}{7}\)\( \begin{pmatrix} \frac{1}{2}&\frac{5}{12}\\\frac{2}{5}&\frac{4}{5} \end{pmatrix}\)



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