I know by definition that if T is a 2nd order tensor and v is a vector, curl(Tv)=curl(T)v but what if instead of constant vector v, I have w=grad(u), not constant but obviously an irrotational vector field. Is this still true: curl(Tw)=curl(T)w ??? My guess is yes since curl(w)=0 but have no verification. Please advise. Thank you.