When the mass matrix is decomposed in figure the standard

Question

Repeat Example by decomposing the stiffness matrix and compare the results with those given in the example.

Example

When the mass matrix is decomposed in Figure, the standard form of the equation of motion becomes

Where  λ=ω²m/k. By using the Jacobi method, diagonalize the dynamic matrix, and determine the eigenvalues and the eigenvectors for the system.