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SPRstructur15-Moonstone
15-Moonstone
July 13, 2020
Question

Normalize in Eigen Vector

  • July 13, 2020
  • 1 reply
  • 2040 views

Dear all

I notice the Mathcad Prime, when we use build-in function of eigenvec , Mathcad Prime include the Normalize the result.

phearunstructur_0-1594634946397.png

my question is how can we get the result without normalized form ?
Thank you

1 reply

W
Werner_E25-Diamond I
25-Diamond I
July 13, 2020

Eigenvalues are unique, but eigenvectors are not. Its up to the program which representative to choose.

Which one would you prefer?

 

Prime sometimes even delivers a different representative if asked for an eigenvector to a specific eigenvalue. Try eigenvec(A,2) in your example.

 

You may prefer the results of a symbolic evaluation. Here the order differs depending on whether you are using the new or the old symbolic engine (both available in Prime 6).

 

Werner_E_0-1594636903150.png

 

W
Werner_E25-Diamond I
25-Diamond I
July 13, 2020

If you insist on integer numbers, you may experiment with this routine, but keep in mind that multiplying numbers by 10^16 gets to the limit of precision of IEEE format. It also would work for real numbers only.

Werner_E_0-1594638214608.png

 

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