Genisis- Who is to blame for the eviction of Eden?

After reading Genisis 1-3, I think that it's the serpents fault for the eviction of Eden, despite all of the beliefs that it is Adam and Eve's fault. I believe this because the woman, Eve would have never eaten the fruit unless the serpent told her that she would be God-like if she ate it. The serpent says, "For God knows that if you eat of it your eyes will be opened, and you will be like God, knowing good and evil." Because of this, Eve eats the fruit in hopes of becoming knowledgeable of knowing the good apart from the evil like God, and gives some of it to Adam as well. In addition, the serpent says, "You will surely not die." Eve eats the fruit because the Serpent tells her that she will not die if she eats it. I also think that if Adam knew that it was the fruit he was forbidden to eat, he wouldn't have eaten it. Since Eden gave it to him because the serpent told her it was okay to eat, she gave it to Adam not worried about God getting angry. Although Eve listened to the serpent, he did trick her.  Without the serpent, Eve nor adam would have eaten the fruit.

https://commons.m.wikimedia.org/wiki/File:003.Adam_and_Eve_Are_Driven_out_of_Eden.jpg