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SciPy Recipes
book

SciPy Recipes

by Luiz Felipe Martins, Ke Wu, Ruben Oliva Ramos, V Kishore Ayyadevara
December 2017
Intermediate to advanced
386 pages
10h 42m
English
Packt Publishing
Content preview from SciPy Recipes

Calculating the null space of a matrix 

The null space of an m x n matrix A, denoted as null A, is the set of all solutions for the homogeneous equation Ax = 0.

Calculating the null space of a matrix helps us in identifying all the potential values of x that help solve the equation Ax = 0.

In order to calculate the null space of a given matrix, we would be using the built-in nullspace function available within the sympy package.

In order to understand how the null space of a given matrix can be calculated, let us consider the following example: 

  1. Initialize the matrix:
M = Matrix([[1, 2, 3, 0, 0], [4, 10, 0, 0, 1]]) 
  1. Calculate the null space of the matrix by using the nullspace function:
M.nullspace()
  1. The output of the preceding code ...
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Publisher Resources

ISBN: 9781788291460