If AAA is a 3×33 \times 33×3 matrix such that Av=2vAv = 2vAv=2v and Aw=3wAw = 3wAw=3w, what is A(2v+w)A(2v + w)A(2v+w)?
4v+3w4v + 3w4v+3w
2v+3w2v + 3w2v+3w
4v+w4v + w4v+w
6v+3w6v + 3w6v+3w