Let S = {a+bx+cx²: {V₁, V2, V3} and T and = {w₁, W2, W3} be two bases in the vector space P₂ a, b, c = R}, where v₁ = 1 + x + 3x², v₂ = −2 − 2x - 7x², v3 = 1 + 2x + 6x² = W1 1 + x - x², W₂ 1 + 2x², W3 = = = 3– x+5x2. Find the transition matrix from T to S. Let v = 201 (C₁, C2, C3) so that v = C₁w₁ + C₂W2 + C3W3. Hint: For the second part, you need also to find the transition matrix from S to T. = - 3v2 + v3, find the coefficients

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