Let B = (p0, p1, p2) be the standard basis for P2 and
B = (q1,...
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Let B = (p0, p1, p2) be the standard basis for P2 andB = (q1, q2, q3) where:
q1 = 1 + x , q2 = x + x 2 and q3 = 2 + x + x 2 1. Show that S is a basis for P2. 2. Find the transition matrix PS→B 3. Find the transition matrix PB→S 4. Let u = 3 + 2x + 2x 2 . Deduce the coordinate vector for u relative to S
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