Problem 2 :Let
v₁ = (0,3,3, 1), v₂ = (2, 1, -3, 7), v₃ = (1, 8, 6, 6), v₄ = (1, 10, -4,2)
be vectors in R⁴. Let W₁ = span{v₁, v₂} and let W₂ = span{v₃, v₄}. Find the dimension and a basis of W₁∩W₂.