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  3. let b = (p0, p1, p2) be the standard basis for p2

Let B = (p0, p1, p2) be the standard basis for P2 and B = (q1,...

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Advance Math

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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