def test_1(self):
# 0-D nullspace Identity matrix
I = sp.eye(5)
N = nullspace(I)
assert (N.shape == (5, 0))
def test_1(self):
# test a 3x2 matrix
A = sp.array([[1., 0], [0, 1], [0, 0]])
N = nullspace(A)
assert N.shape == (2, 0)
def test_1():
# 0-D nullspace Identity matrix
I = sp.eye(5)
N = artools.nullspace(I)
assert (N.shape == (5, 0))
def test_1(self):
# dimension of the nullspace
A = sp.array([[1., 2., 3., 1.], [1., 1., 2., 1.], [1., 2., 3., 1.]])
N = nullspace(A)
dimension = rank(N)
assert dimension == 2
def test_1(self):
# 2-D nullspace
A = sp.array([[1., 0, 0]])
N = nullspace(A)
N_ref = sp.array([[0., 0], [1, 0], [0, 1]])
assert (sameRows(N, N_ref) is True)
def test_2(self):
# 1-D subspace in 5-D
A = sp.array([[1., 0, 0, 0, 0], [0, 1, 0, 0, 0], [0, 0, 1, 0, 0],
[0, 0, 0, 1, 0]])
N = nullspace(A)
N_ref = sp.array([[0., 0, 0, 0, 1]]).T
assert (sameRows(N, N_ref) is True)
def test_5():
# test a 3x2 matrix
A = sp.array([[1., 0],
[0, 1],
[0, 0]])
N = artools.nullspace(A)
assert N.shape == (2, 0)
def test_2():
# 1-D nullspace
A = sp.array([[1., 0, 0],
[0, 1, 0]])
N = artools.nullspace(A)
N_ref = sp.array([[0., 0, 1]]).T
assert (artools.same_rows(N, N_ref) is True)