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Q3)B) Let X is pre_Hilbert space. Prove that (α₁x₁ + a²₂x₂, [²₁=1 P₁y₁ ) = α₁ [₁₁ B₁ (x₁₁3₁) + 11₂ [1₁1=₁ Ñ¡ (x₂.3₁)

Q3)B) Let X is pre_Hilbert space. Prove that (α₁x₁ + a²₂x₂, [²₁=1 P₁y₁ ) = α₁ [₁₁ B₁ (x₁₁3₁) + 11₂ [1₁1=₁ Ñ¡ (x₂.3₁)

Advanced Engineering Mathematics
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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Q3)B) Let X is pre_Hilbert space. Prove that (a₁x₁ + a₂x₂.1 P₁x₁) = α₁ Σ₁=₁ B₁ (x₂₁ 3²₁) + 1₂ Σ1₁1=₁ Bi (x₂.3₁) =1
Transcribed Image Text:Q3)B) Let X is pre_Hilbert space. Prove that (a₁x₁ + a₂x₂.1 P₁x₁) = α₁ Σ₁=₁ B₁ (x₂₁ 3²₁) + 1₂ Σ1₁1=₁ Bi (x₂.3₁) =1
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