It's all in the same verse, the same sentence actually: "And when the woman saw that the tree was good for food, and that it was pleasant to the eyes, and a tree to be desired to make one wise, she took of the fruit thereof, and did eat, and gave also unto her husband with her; and he did eat." Genesis 3:6
That's it. She gave it to her husband with her, and he did eat.
The Bible says later that she truly thought she was right; the Bible says she was deceived but Adam's the one who knowingly sinned. So I don't think she pulled any female power plays (and neither should we, ever). She just truly and sincerely thought Adam didn't have all the information he needed. Which leads me to believe she overpowered him with her supposed insightfulness. I mean Satan did tell Eve all this compelling stuff about the virtues of the fruit. And Adam caved, under feeling unsure of himself while she was so sure of herself.
I don't want to take the lead in my marriage just because I think I've done the research.