I feel I have a profound misunderstanding of how Mathematica works. Here's an example that confuses me: Say that for a matrix $A$ I want to extract the first $\mathrm{Tr}(A)$ normalized eigenvectors (the trace is guaranteed to be an integer). I would write a function
f[A_]= Normalize /@ Part[Part[Eigensystem[A], 2] , Range[Tr[A]]];
v=f[A]
Nevertheless this doesn't work, it just outputs
Normalize[{...}]
and $...$ are the unnormalized eigenvectors. Meanwhile, if write
f[A_]= Part[Part[Eigensystem[A], 2] , Range[Tr[A]]];
v=Normalize /@ f[A]
it works perfectly. What is going on here?
