How to find an inverse matrix in Python
To calculate the inverse matrix in Python, use the linalg.inv() function of the numpy module.
The parameter x of the function is a square invertible matrix M defined with the function array() of numpy.
The function outputs the inverse matrix M-1 of the matrix M.
What is the inverse matrix? The inverse matrix M-1 of a square matrix M is another square matrix, such that the product M · M-1 is equal to an identity matrix I.
Given the following invertible matrix M, find the inverse matrix M-1.
Import the numpy module in Python
>>> import numpy as np
Now, define the input matrix using the array() function.
Calculate the inverse matrix with the function linalg.inv().
The function calculates and outputs the inverse matrix
>>> array([[-0.6, 1. , 0.8],
[ 1. , -1. , -1. ],
[ 1.2, -1. , -1.6]])
The inverse output matrix is also an array() object. It can be read as a list.
The elements of the inverse matrix are real numbers.
Verification. The product of the matrix M for the matrix M-1 is an identity matrix.