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Let S = {?2, (? − 1)2, (? − 2)2 } A) Show that S forms...

Let S = {?2, (? − 1)2, (? − 2)2 }
A) Show that S forms a basis for P2
.
B) Define an inner product on P2 via < p(x) | q(x) > = p(-1)q(-1) + p(0)q(0) + p(1)q(1).
Using this inner product, and Gram-Schmidt, construct an orthonormal basis for P2 from S – use the
vectors in the order given!

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