Related Articles

Related Articles

Python sympy | Matrix.nullspace() method
  • Last Updated : 13 Aug, 2019

With the help of sympy.Matrix().nullspace() method, we can find the Nullspace of a Matrix. Matrix().nullspace() returns a list of column vectors that span the nullspace of the matrix.

Syntax: Matrix().nullspace()

Returns: Returns a list of column vectors that span the nullspace of the matrix.

Example #1:

filter_none

edit
close

play_arrow

link
brightness_4
code

# import sympy 
from sympy import * 
  
M = Matrix([[1, 0, 1, 3], [2, 3, 4, 7], [-1, -3, -3, -4]])
print("Matrix : {} ".format(M))
   
# Use sympy.nullspace() method 
M_nullspace = M.nullspace()  
      
print("Nullspace of a matrix : {}".format(M_nullspace))  

chevron_right


Output:



Matrix : Matrix([[1, 0, 1, 3], [2, 3, 4, 7], [-1, -3, -3, -4]]) 
Nullspace of a matrix : [Matrix([
[  -1],
[-2/3],
[   1],
[   0]]), Matrix([
[  -3],
[-1/3],
[   0],
[   1]])]

Example #2:

filter_none

edit
close

play_arrow

link
brightness_4
code

# import sympy 
from sympy import * 
  
M = Matrix([[14, 0, 11, 3], [22, 23, 4, 7], [-12, -34, -3, -4]])
print("Matrix : {} ".format(M))
   
# Use sympy.nullspace() method 
M_nullspace = M.nullspace()  
      
print("Nullspace of a matrix : {}".format(M_nullspace)) 

chevron_right


Output:

Matrix : Matrix([[14, 0, 11, 3], [22, 23, 4, 7], [-12, -34, -3, -4]]) 
Nullspace of a matrix : [Matrix([
[-1405/4254],
[   -10/709],
[  314/2127],
[         1]])]

Attention geek! Strengthen your foundations with the Python Programming Foundation Course and learn the basics.

To begin with, your interview preparations Enhance your Data Structures concepts with the Python DS Course.




My Personal Notes arrow_drop_up
Recommended Articles
Page :