Matrix Inverse
Inverting a matrix is a process of finding a matrix such that, if multiplied by the original matrix, the result is an Identity matrix. Mathematically, inversion is represented as:
$ A^{-1}$ is an inverse matrics of $A$ if $$ A*A^{-1}=I$$
It is important to note that not all matrices are invertible.
Implementation in Numpy
The method linalg.inv returns the inverse of a given matrix.
import numpy as np
A = np.array([ 2, 3, 4, 3]).reshape(2,2)
np.linalg.inv(A)Confirm that the dot product of the inverse and original matrix is an identity matrix
A.dot(np.linalg.inv(A))