Book Image

SciPy Recipes

By : V Kishore Ayyadevara, Ruben Oliva Ramos
Book Image

SciPy Recipes

By: V Kishore Ayyadevara, Ruben Oliva Ramos

Overview of this book

With the SciPy Stack, you get the power to effectively process, manipulate, and visualize your data using the popular Python language. Utilizing SciPy correctly can sometimes be a very tricky proposition. This book provides the right techniques so you can use SciPy to perform different data science tasks with ease. This book includes hands-on recipes for using the different components of the SciPy Stack such as NumPy, SciPy, matplotlib, and pandas, among others. You will use these libraries to solve real-world problems in linear algebra, numerical analysis, data visualization, and much more. The recipes included in the book will ensure you get a practical understanding not only of how a particular feature in SciPy Stack works, but also of its application to real-world problems. The independent nature of the recipes also ensure that you can pick up any one and learn about a particular feature of SciPy without reading through the other recipes, thus making the book a very handy and useful guide.
Table of Contents (11 chapters)

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 is:
[Matrix([[-15],[  6],[  1],[  0],[  0]]), Matrix([[0],[0],[0],[1],[0]]), Matrix([[   1],[-1/2],[   0],[   0],[   1]])]

In order to...