Solve the following eigenvalue problem using Matlab

Hello, I am a beginner level in Matlab so I am little bit confused by this questions would you guys have a look please?

Thank you!

w^2 [ 3 0 0 (x) = [ 10 -4 0 (x)

0 2 2 -4 6 -2

0 0 1] 0 -2 2]

Answer 1

[Torsten]

Still confused ? Then read about "eig".

B = [  3  0  0  ;               
       0  2   2 ;              
       0  0   1]  ;

A = [ 10  -4  0 ;                 
      0  2   2  ;                     
      0  0   1] ; 

[V,D] = eig(A,B)    
A*V - B*V*D   
A*V(:,1)-B*V(:,1)*D(1,1) 
A*V(:,2)-B*V(:,2)*D(2,2)
A*V(:,3)-B*V(:,3)*D(3,3)
w(1) = sqrt(D(1,1))
w(2) = sqrt(D(2,2))
w(3) = sqrt(D(3,3))

[Joni Riihimaki]

Thank you so much but why did you write the last line?

[Torsten]

The V's are your x and the sqrt(D)'s are your w's. Or what do you mean ?

[Walter Roberson]

The problem is in terms of w^2 so to find w you need to take the square root of the computed coordinates