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
icon
Related questions
Question
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}.
Transcribed Image Text: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.
Transcribed Image Text: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.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage