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in Matrices and Determinants by (47.4k points)

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

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1 Answer

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by (47.8k points)

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

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