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Inverse Matrix

Last updated Feb 26, 2022 Edit Source

Inverse Matrixes are basically Linear Transformations that can reverse the effects of a matrix. Finding the inverse of a matrix is done through this method:

  1. An augmented matrix of type $\begin{bmatrix} A & | & I_n \end{bmatrix}$, where $I_n$ is an identity matrix of size $n \times n$.
  2. If $A$ is invertible, than you can use Elementary Row Operations in order to reduce the augmented matrix so that it is in the form $\begin{bmatrix} I_n & | & A^{-1} \end{bmatrix}$

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