$100\%$ Use MATLAB and the Rayleigh$-$Ritz method to analyze the following eigenvalue

problem

$($K$-\backslash$lambda M$)\backslash$phi $=0$

where

M$=[[1,0,0],[0,1,0],[0,0,1]],$K$=[[2,-1,0],[-1,2,-1],[0,-1,2]]$

A$.$ Use MATLAB to find the accurate solution;

B$.$ Let the two trial vectors be

x$\_(1)=\{[1],[4],[9]\}$ and x$\_(2)=\{[1],[3],[5]\}$

Formulate the Rayleigh$-$Ritz approach and use MATLAB to solve for the approximate

eigenvalues and eigenvectors;

o Use the newly obtained approximate eigenvectors as the new trial vectors to re$-$solve the

problem using the Rayleigh$-$Ritz approach. What conclusion can you draw?