Consider the mass-spring system in Fig. P13.5. The frequencies for the mass vibrations can be determined by solving for the eigenvalues and by applying MX + kx = 0, which yields m 00 2k -k-k 0 m2 0 + -k 2k -k 0 0 m3 X3 -k-k 2k Χα Applying the guess x = xoeiwt as a solution, we get the following matrix: X01 eiot = 19-8 -k 2k - m₁w² -k -k -k 2k - m₂w² -k -k 2k-mzw² }{ X02 X03 Use MATLAB's eig command to solve for the eigenvalues of the k- mw² matrix above. Then use these eigenvalues to solve for the frequencies (w). Let m₁ = m² = m³ = 1 kg, and k = 2 N/m. FIGURE P13.5: k m m m2 k m k m3 x3