When finding eigenvectors in matrices I choose something for some x-es. Like sometimes x3 or x4 is chosen to be s or t or 2s etc.... What I´d like to ask about is, does it not matter what the number is? Can I chose whatever I want to? If the matrix has 3 eigenvalues and after gauss jordan I get: 100 014 000 I chose x3 to be 1. But could I just as well chose it to be 5 or six?