def test_det():
assert isinstance(Determinant(A), Determinant)
assert not isinstance(Determinant(A), MatrixExpr)
pytest.raises(ShapeError, lambda: Determinant(C))
assert det(eye(3)) == 1
assert det(Matrix(3, 3, [1, 3, 2, 4, 1, 3, 2, 5, 2])) == 17
A / det(A) # Make sure this is possible
pytest.raises(TypeError, lambda: Determinant(S.One))
assert Determinant(A).arg is A
def test_det():
assert isinstance(Determinant(A), Determinant)
assert not isinstance(Determinant(A), MatrixExpr)
pytest.raises(ShapeError, lambda: Determinant(C))
assert det(eye(3)) == 1
assert det(Matrix(3, 3, [1, 3, 2, 4, 1, 3, 2, 5, 2])) == 17
A / det(A) # Make sure this is possible
pytest.raises(TypeError, lambda: Determinant(1))
assert Determinant(A).arg is A
def test_BlockMatrix_Determinant():
A, B, C, D = [MatrixSymbol(s, 3, 3) for s in 'ABCD']
X = BlockMatrix([[A, B], [C, D]])
assert isinstance(det(X), Expr)
def test_determinant():
assert det(2*C) == 2**n*det(C)
assert det(2*C*D) == 2**n*det(C)*det(D)
assert det(3*C*A*A.T*D) == 3**n*det(C)*det(A*A.T)*det(D)
def test_BlockMatrix_Determinant():
A, B, C, D = [MatrixSymbol(s, 3, 3) for s in 'ABCD']
X = BlockMatrix([[A, B], [C, D]])
assert isinstance(det(X), Expr)
def test_eval_determinant():
assert det(Matrix()) == 1
assert det(Identity(n)) == 1
assert det(ZeroMatrix(n, n)) == 0
assert det(Transpose(A)) == det(A)
def test_eval_determinant():
assert det(Matrix()) == 1
assert det(Identity(n)) == 1
assert det(ZeroMatrix(n, n)) == 0
assert det(Transpose(A)) == det(A)