I've got a question and I would appreciate if one could help me to understanding it.
I have a 2x2 complex matrix $F$. The absolute value of the entries of $F$ are equal to one, i.e., $|F(m,n)|=1$. I find the singular value decomposition of this matrix as
$[U S V] = svd(F)$.
I see that the absolute value of the entries of $U$ and $V$ are equal to $0.5$, i.e., $|U(m,n)|^2=0.5$ and $|V(m,n)|^2=0.5$.
Could one explain why the absolute values of $U$ and $V$ are $0.5$?