How do you answer this problem? Please give explanation so i can follow along, are there any tips or tricks i need?$4\mathrm{.}30$:$-$ Consider the system in figure P$.4\mathrm{.}30$ for the case where $m_1=1kg,m_2=4kg,k_1=240\frac{N}{m},$ and $k_2=300\frac{N}{m}.$ Write the equations of motion in vector form and compute each of the following:

a$)$ The natural frequencies

b$)$ the mode shapes

c$)$ the eigenvalues

d$)$ the eigenvectors

e$)$ show that the mode shapes are not orthoyonal.

f$)$ Show that the eigenvectors are orthogonal.

g$)$ Show that the modeshapes and eigenvectors are related by $M^{-\frac{1}{2}}$

h$)$ Write the equations of motion in modal coordinates.