ppose S = &v₁₁ ore that T = nearly independ

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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Suppose S = & V₁, V₂.-... VnI is linearly independent in V.
Prove that
T = {
V₁, V₁.t V₂, V₁ + V₂ + V3---
V₁ +---+ V₂ } is
linearly independent in V.
Transcribed Image Text:Suppose S = & V₁, V₂.-... VnI is linearly independent in V. Prove that T = { V₁, V₁.t V₂, V₁ + V₂ + V3--- V₁ +---+ V₂ } is linearly independent in V.
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