Python sympy | Matrix.columnspace() method
Last Updated :
13 Aug, 2019
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:
from sympy import *
M = Matrix([[ 1 , 0 , 1 , 3 ], [ 2 , 3 , 4 , 7 ], [ - 1 , - 3 , - 3 , - 4 ]])
print ( "Matrix : {} " . format (M))
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:
from sympy import *
M = Matrix([[ 14 , 0 , 11 , 3 ], [ 22 , 23 , 4 , 7 ], [ - 12 , - 34 , - 3 , - 4 ]])
print ( "Matrix : {} " . format (M))
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]])]
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