1. ## Inverse Formula

I have this problem:

Given
$\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!

2. Originally Posted by n3mo
I have this problem:

Given
$\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,
$\frac{1}{\det (A)} \begin{bmatrix}c_{11}&c_{12}\\c_{21}&c_{22} \end{bmatrix} ^T$

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

It should be clear now how to generalize it.