I am asked to graph the vector field of $w=f(z)=iz$.
So my two variables function is $w=-y+ix$.
If my input is for example $(1,1)$ my output is $(-1,i)$ but $i=(0,1)$ right? I'm not really familiar with vector fields I just used Wikipedia's article to understand the concept, however I'm not sure how to apply this to a complex function.
Can anyone please explain this problem?