Using these results calculate the eigenvectors by the

Question

Write the equations of motion for the 3-DOF system shown in Figure, in terms of the stiffness matrix. By letting

m₁=m₂=m₃=m and k₁=k₂=k₃=k. The roots of the characteristic equation obtained from program POLY are

λ₁=0.198, λ₂=1.555 , and λ₃=3.247

Using these results, calculate the eigenvectors by the method of Gauss elimination and check them against the eigenvectors obtained by the computer.