Question $4$: $[$Score $4]$

Determine one eigen value and eigen vector for the following three spring system using Power Method. Use three iterations. $M=1kg$ and $k=10$ N$/$m$.$

$(\frac{2k}{m_1}-{}^2)x_1,-\frac{k}{m_1}{x}_2,=0$

$-\frac{k}{m_2}{x}_1+(\frac{2k}{m_2}-{}^2)x_2,-\frac{k}{m_2}{x}_3,=0$

$-\frac{k}{m_3}{x}_2+(\frac{k}{m_3}-{}^2)x_3,=0$

Question $5$: $[$Score $3]$

For the same problem in Question $4,$ determine eigen value, eigen vector, natural frequency using MATLAB. Draw one mode shape.