In MATLAB

Considering the governing equation of motion for the mass-spring system shown below (Mx + Kx = 0), the frequencies (f_i) of the mass vibrations can be determined by solving for the eigenvalues of the following matrix: A = M^-1 K = [2k/m_1 -k -k -k 2k/m_2 -k -k -k 2k/m_3]| Eigenvalues of A will be omega^2_i| where omega_i = 2 pi _i For m_1 = 1 kg, m_3 = 0.5 kg and k = 2 N/m, show how to use MATLAB to find m_2 such that: f_1 + f_2 = f_3 f_1