I'm suppose to find that matrix, and I was only given the final answer of the dimension which is 3.
But everything I tried so far is leading me to one of the rows being zeroed and therefore the dimension isn't 3.
I know the form of skew-symmetric matrices well, but so far I only dealt with it above the rational numbers, maybe I am missing something.
The matrix have to represent all 3x3 skew symmetric matrices above COMPLEX field.