6. Let V = span{1+ x², x}. Two ordered bases for V are Si = {1+x², x} and S2 = {1+x + x?, 2 + x + 2x²}. The function f(x) = 5+ 3x + 5x² has component vector with respect to the basis S1. Find the 2 x 2 change-of-basis matrix Ps,-s, . What is the component vector of f(x) with respect to S2?

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