Very learned women are to be found, in the same manner as female warriors; but they are seldom or ever inventors.
I wouldn't know how to write a weak female character. I read so much epic fantasy growing up, where you have these sword-wielding, in-your-face warrior maidens.
In the sex war, thoughtlessness is the weapon of the male, vindictiveness of the female.
Any great warrior is also a scholar, and a poet, and an artist.