Solve the queries please.

$($a$)$ Mass matrix of a three degree of freedom free undamped vibrations is $[M]=$

$\left[\begin{array}{ccc}10& 0& 0\\ 0& 10& 0\\ 0& 0& 20\end{array}\right]Kg$ and stiffness matrix for the same is $[K]=\left[\begin{array}{ccc}20& -10& 0\\ -10& 30& -20\\ 0& -20& 20\end{array}\right]K\frac{N}{m}.$ Determin the flexibility matrix $[$f$].$ Hence determine the Dynamical matrix. Using this Dynamical matrix form the Eigen value equation of motion. Starting with a trial Eigen vector $[x]=\left[\begin{array}{c}1\\ 1\\ 1\end{array}\right],$ using Matrix iteration method determine final converged Eigen vector $x.$ Hint: Take six iterations and three places after decimal point. Using this converged Eigen vector $x.$ determine the