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eigenvectors of matrices with repeated (equal) eigenvalues

SOLVED
whartono
Visitor

eigenvectors of matrices with repeated (equal) eigenvalues

Hi,

Does anybody know how to get different eigenvectors of matrices with two or more equal eigenvalues?  The standard Mathcad eigenvec function only gives the same eigenvectors.

 

Thank you

1 ACCEPTED SOLUTION

Accepted Solutions

Re: eigenvectors of matrices with repeated (equal) eigenvalues

You should use either the function "eigenvecs" or use "eigenvec" with symbolic evaluation. "eigenvec(BB,4) -> " will only give the result shown in the picture if you use the new symbolic introduced with Prime 6.

Werner_E_0-1577228740231.png

 

View solution in original post

3 REPLIES 3

Re: eigenvectors of matrices with repeated (equal) eigenvalues

Why do you expect different eigenvectors for equal eigenvalues? You may create your own "different" vectors by multiplying the one which Mathcad provides by any number you like. You may also notice that Mathcads numerics and its symbolic usually return differently normalized eigenvectors.

Re: eigenvectors of matrices with repeated (equal) eigenvalues

Sorry, you did not answer the question.

Let's use one example I got from other and typed into (attached) MathCad.

 

Re: eigenvectors of matrices with repeated (equal) eigenvalues

You should use either the function "eigenvecs" or use "eigenvec" with symbolic evaluation. "eigenvec(BB,4) -> " will only give the result shown in the picture if you use the new symbolic introduced with Prime 6.

Werner_E_0-1577228740231.png

 

View solution in original post

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