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whartono1-Visitor
1-Visitor
December 20, 2019
Solved

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

Werner_E
Werner_EAnswer
25-Diamond I
December 24, 2019

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

 

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3 replies

Werner_E
Werner_E25-Diamond I
25-Diamond I
December 21, 2019

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.

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whartono1-VisitorAuthor
1-Visitor
December 24, 2019

Sorry, you did not answer the question.

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

 

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Werner_E
Werner_E25-Diamond IAnswer
25-Diamond I
December 24, 2019

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

 

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