Orthonormalize the set as the inner product: where u = 000 using the Gram-Schmidt process and the usual dot product on R ³ < ₁ >= = ₁V₁ + U₂V₂ + U3V3 (11 , 2 , u3) and Ủ = (U1, U2, U3).
Orthonormalize the set as the inner product: where u = 000 using the Gram-Schmidt process and the usual dot product on R ³ < ₁ >= = ₁V₁ + U₂V₂ + U3V3 (11 , 2 , u3) and Ủ = (U1, U2, U3).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Orthonormalize the set
as the inner product:
0·00
using the Gram-Schmidt process and the usual dot product on R ³
3
củ, Ủxủ Ủ
• V = U₁₂V₁ + U₂ V₂ + U3 V3
where ủ = (U₁, U₂, U3) and Ủ = (V₁, V2, U3).
9
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