How to find the eigenvector corresponding to each eigenvalues

[sfan]

Hi, everyone,

So I have come to the eigenvalues of matrix D, and now I want to find the eigenvector corresponding to eigenvalue 176.718.

Is there a way to find the it?

Using the eigenvecs cannot produce the right answer,

As seen in this figure, EV has four linear independent eigenvectors, and the last column is the right one. But I presume this is only a coincidence,

as eigenvecs in this case used det(D-lambda*I)=0, to recalculate all new lambdas of the new defined D.

Is there a function like [lambda, Eigenvector]= eig(K,M) in Matlab, that returns to the eigenvectors corresponding to each eigenvalues?

Thank you for your time

Best

Shawn

[sfan]

Hi, guys

I used the syntax in Matlab, creating a similar process, and it can return to the eigenvectors wanted.

But are there easier processes?

[LucMeekes]

Have you read thisRe: How to retrive an eigenvector connected to its eigenvalue?

Success!
Luc

[sfan]

Hi, Luc,

I read that post but I don't quite get the point.

Right now I just want to find the non-trivial solution to the last equation above,

I can find that using the solve block, but since solve block cannot be used in programming, I am afraid I have to find another way to solve a Matrix function with non trivial solution.

In Matlab, [eigenval, eigenvecs] = eig (K, M) would return to EV as eigenvecs, using the equation M*EV*lambda = K*EV, and it is easier for programming, say K & M varies.

So is there a way to solve non-trivial solution to a Matrix Function other than the solve block in Mathcad?

Thank you for your help!

Best

Shawn