calculation of eigenvalues and eigenvectors

K =

1.0e+06 *

0.6727 -0.4550 0.0776 -0.6532 0.4550 0.0126

-0.4550 1.7388 0.0180 0.4550 -0.3209 0.0180

0.0776 0.0180 0.4290 -0.0126 -0.0180 0.0569

-0.6532 0.4550 -0.0126 1.0693 -0.4550 0.5070

0.4550 -0.3209 -0.0180 -0.4550 4.4785 -0.0180

0.0126 0.0180 0.0569 0.5070 -0.0180 0.9978

Mx =

[(841*x)/10, 0, 0, 0, 0, 0]

[ 0, (841*x)/10, 0, 0, 0, 0]

[ 0, 0, (841*x)/10, 0, 0, 0]

[ 0, 0, 0, (841*x)/10, 0, 0]

[ 0, 0, 0, 0, (841*x)/10, 0]

[ 0, 0, 0, 0, 0, (841*x)/10]

the formula says det(K-Mx)==0 and knowing that x are the eigenvalues,how i calculate the values of x and after obtaining the eigenvalues how can i calculate the eigenvectors,

i'm new at MATLAB and i'm stil learning, so please give me the methods with all its details.

Thank you very much.

Answer 1

[Ameer Hamza]

See eig(): https://www.mathworks.com/help/matlab/ref/eig.html. Normal eigenvalue assumes to be one along the diagonal. You will need to scale the solution accordingly.