State whether the following statements are true or false and briefly justify your answer. 1) The global stiffness matrix from the finite element method is a singular matrix prior to the application of any boundary conditions. 2) In dynamic problems, if a structure can freely move, then the lowest natural frequency is zero. 3) In a finite element, the sum of the shape functions is equal to 1 for the nodes only. 4) Numerical integration by Gauss quadrature yields fairly accurate results, but never exact.