I have this problem: Given $\displaystyle \begin{bmatrix}a&b\\c&d\end{bmatrix} $ find a formula for its inverse. Any ideas for a generalized formula for doing this? Thanks in advance to any takers!
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Originally Posted by n3mo I have this problem: Given $\displaystyle \begin{bmatrix}a&b\\c&d\end{bmatrix} $ find a formula for its inverse. Any ideas for a generalized formula for doing this? Thanks in advance to any takers! The inverse is, $\displaystyle \frac{1}{\det (A)} \begin{bmatrix}c_{11}&c_{12}\\c_{21}&c_{22} \end{bmatrix} ^T$ Where $\displaystyle c_{ij}$ is the cofactor in the $\displaystyle ij$ position. It should be clear now how to generalize it.
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