QUESTION 6 and b= Let W=span ( - 1+x,1+x²) be the subspace of P₂ equipped with the evaluation inner product at the sample points -1.0 and 1. If p=12+6x − 12x2, then projp=a+bx+bx² with a =

Elementary Linear Algebra (MindTap Course List)
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Chapter4: Vector Spaces
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QUESTION 6
W= span ( – 1+x, 1+x?)
-1:0 and 1. If p=12+6x – 12x2, then proj „p=a+bx + bx² with a=
be the subspace of P, equipped with the evaluation inner product at the sample points
and b=
Let
QUESTION 7
Let w be the subspace of P, spanned by the vectors p, = 1 and p,=1-x2. If P_ is equipped with the evaluation
inner product with sample points – 1:0 and
2
is spanned by the vector =2a+ 6x + (b – 3)x2. where
then
-
and b=
a=
Transcribed Image Text:QUESTION 6 W= span ( – 1+x, 1+x?) -1:0 and 1. If p=12+6x – 12x2, then proj „p=a+bx + bx² with a= be the subspace of P, equipped with the evaluation inner product at the sample points and b= Let QUESTION 7 Let w be the subspace of P, spanned by the vectors p, = 1 and p,=1-x2. If P_ is equipped with the evaluation inner product with sample points – 1:0 and 2 is spanned by the vector =2a+ 6x + (b – 3)x2. where then - and b= a=
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