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))
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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))
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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]])]