Inverse of a $$2\times2$$ Matrix

Rarely Tested

Inverse of a $$2\times2$$ Matrix

## Formula

For:

$$A=\begin{bmatrix}a&b\\c&d\end{bmatrix}$$

if:

$$ad-bc\ne0$$

then:

$$A^{-1}=\frac1{ad-bc}\begin{bmatrix}d&-b\\-c&a\end{bmatrix}$$

## Usage

- Used for direct calculation of the inverse of a $2\times2$ matrix.

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