The diagram below represents a three degree of freedom system, with the following equation of motion:

Where is the mass matrix and  is the stiffness matrix.

Assume that  kg,  kg,  N/m,  N/m and  N/m.

What line(s) of MATLAB code can be used to calculate the eigenvalues and mode shapes of the system from the mass and stiffness matrix?

Hint: The output must be a diagonal matrix, , containing the eigenvalues and an orthogonal matrix, , holding the mode shapes in its columns. There may be more than one correct answer.