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.