## Question

###### (4 marks) Let F1 denote the real vector space of polynomials of degree not greater than with the inner product{p, 9}1, pl)ql) &xfor p,q â‚¬ P_ Show that the two polynomialsPi(z) = 1 P(T) =1-rbasis for Pi_ Use the Gram-Schmidt process thonormal hasis for Pe from the hasis (P1, Pz) .consttucn

(4 marks) Let F1 denote the real vector space of polynomials of degree not greater than with the inner product {p, 9} 1, pl)ql) &x for p,q â‚¬ P_ Show that the two polynomials Pi(z) = 1 P(T) =1-r basis for Pi_ Use the Gram-Schmidt process thonormal hasis for Pe from the hasis (P1, Pz) . consttucn

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