Let Consider the inner product f(x) = -5, g(x)=5x+2 and h(x) = 2x². 1 (p,q) = f² p(x)q(x) dæ dx in the vector space P7 of polynomials of degree at most 7. Use the Gram-Schmidt process to determine an orthonormal basis for the subspace of P7 spanned by the functions f(x), g(x), and h(x). {0,00}. W3= (V3, W1) (V3, W2)= (W2, W2)= 000000 W₁ = (V2, W1) = (W1, W1)= 00000 00000 Let 0 0 0 V2= , and v3 = -5 2 Use the Gram-Schmidt procedure to produce an orthogonal set with the same span. (Hint: If you have unlimited submissions, it might be useful to submit to check your answer for each vector w; before continuing.) Note: The w; must be given in the same order as provided by the standard procedure.
Let Consider the inner product f(x) = -5, g(x)=5x+2 and h(x) = 2x². 1 (p,q) = f² p(x)q(x) dæ dx in the vector space P7 of polynomials of degree at most 7. Use the Gram-Schmidt process to determine an orthonormal basis for the subspace of P7 spanned by the functions f(x), g(x), and h(x). {0,00}. W3= (V3, W1) (V3, W2)= (W2, W2)= 000000 W₁ = (V2, W1) = (W1, W1)= 00000 00000 Let 0 0 0 V2= , and v3 = -5 2 Use the Gram-Schmidt procedure to produce an orthogonal set with the same span. (Hint: If you have unlimited submissions, it might be useful to submit to check your answer for each vector w; before continuing.) Note: The w; must be given in the same order as provided by the standard procedure.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 26E
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