Finding the $\log$ of a matrix by contour integration

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My teacher presented this way of determining the logarithm of a matrix $\Omega$ in class today:

$$\log \Omega = \frac1{2\pi i}\oint_{\Gamma} (\zeta I - \Omega)^{-1} \log \zeta \,d\zeta.$$

Does anyone have a reference where I can read about this?