Consider the following ordered basis F = (p₁(t),p₂(t),p₃(t)) of the vector space of polynomials of degree at most 2, where p₁(t) = 3 + 1t + 1t², p₂(t) = 0 + 2t + 0t², p₃(t) = 2 + 0t + 1t².
Write q(t) = 4 + -2t + 1t² as a linear combination of p₁(t),p₂(t),p₃(t)