Cancellation Using Inverse

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Cancellation Using Inverse

## Formula

$$AA^{-1}=A^{-1}A=I$$

If:

$$AB=AC$$

and $A^{-1}$ exists, then:

$$B=C$$

Similarly, if:

$$BA=CA$$

and $A^{-1}$ exists, then:

$$B=C$$

## Usage

- Used to solve matrix equations when the coefficient matrix is invertible.

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