def METHOD_NAME(coordsys):
    data = read_egg_string(EGG_TRANSFORM_MATRIX % COORD_SYSTEMS[coordsys])
    assert data.get_coordinate_system() == coordsys
    mat = core.Mat4D(5, 2, -3, 4, 5, 6, 7, 8, 9, 1, -3, 2, 5, 2, 5, 2)
    mat_inv = core.invert(mat)
    child, = data.get_children()
    assert child.has_transform3d()
    assert not child.transform_is_identity()
    assert child.get_transform3d() == mat
    assert child.get_vertex_frame() == core.Mat4D.ident_mat()
    assert child.get_node_frame() == mat
    assert child.get_vertex_frame_inv() == core.Mat4D.ident_mat()
    assert child.get_node_frame_inv() == mat_inv
    assert child.get_vertex_to_node() == mat_inv
    assert child.get_node_to_vertex() == mat