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:
# 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)) |
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:
# 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)) |
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]])]
