Python sympy | Matrix.columnspace() method

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

Syntax: Matrix().columnspace()

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

Example #1:

# 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.columnspace() method
M_columnspace = M.columnspace()

print("Columnspace of a matrix : {}".format(M_columnspace))

Output:

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

Example #2:

# 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.columnspace() method
M_columnspace = M.columnspace()

print("Columnspace of a matrix : {}".format(M_columnspace))

Output:

Matrix : Matrix([[14, 0, 11, 3], [22, 23, 4, 7], [-12, -34, -3, -4]]) 
Columnspace of a matrix : [Matrix([
[ 14],
[ 22],
[-12]]), Matrix([
[  0],
[ 23],
[-34]]), Matrix([
[11],
[ 4],
[-3]])]