I notice the Mathcad Prime, when we use build-in function of eigenvec , Mathcad Prime include the Normalize the result.
my question is how can we get the result without normalized form ?
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).
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.