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Math Help - Inverse Formula

  1. #1
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    Inverse Formula

    I have this problem:

    Given
    \begin{bmatrix}a&b\\c&d\end{bmatrix}<br />
    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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  2. #2
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    Quote Originally Posted by n3mo View Post
    I have this problem:

    Given
    \begin{bmatrix}a&b\\c&d\end{bmatrix}<br />
    find a formula for its inverse.

    Any ideas for a generalized formula for doing this? Thanks in advance to any takers!
    The inverse is,
    \frac{1}{\det (A)} \begin{bmatrix}c_{11}&c_{12}\\c_{21}&c_{22} \end{bmatrix} ^T

    Where c_{ij} is the cofactor in the ij position.

    It should be clear now how to generalize it.
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