Consider P2, endowed with the following inner product: 1 1 (p, q) : G P(0)q(0) + G P(1)q(1) + for all p, q E P2 Consider the orthonormal basis B = {Po, P1, p2} defined so that for all x E R Po(x) = /2 P1(x) = /3 – V3x P2(x) = 1 – 6x + 3x? Let p E P2 be defined so that p(x) = 12 – 46x + 24x² for all x E R. What is ([p]B)3? Answer:
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![Consider P2, endowed with the following inner product:
1
(p. q) = ¿r0)q(0) + ¿p(1)q(1) + ¿r(2
2)q(2),
for all p, q E P2
Consider the orthonormal basis B = {po, p1, P2} defined so that for all x E R
Po(x) = /2
P1(x) = V3 – V3x
P2(x) = 1 – 6x + 3x?
Let p E P2 be defined so that p(x) = 12 – 46x + 24x² for all x E R.
What is ([p]B)3?
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