Let S = { √₁₁... √₂³ CV, V is Vector Space and my 1 a) If V tō => S is linear dependence iff 3jef ², mm ³ s.t. V.E span { V₁₁ ₁V; 13 - b) If Vje Span { V₁, m, V₁ }, je { 2, mim] than span(s) = Span (S\{v} })
Let S = { √₁₁... √₂³ CV, V is Vector Space and my 1 a) If V tō => S is linear dependence iff 3jef ², mm ³ s.t. V.E span { V₁₁ ₁V; 13 - b) If Vje Span { V₁, m, V₁ }, je { 2, mim] than span(s) = Span (S\{v} })
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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could you please proof it?
![Let S = { √, , ..., v₁₂ ²³ CV, V is Vector space and my 1
a) If V₁ #0² => S is linear dependence iff Jjef ²₁.m³
s.t.
V.E span {V₁₁₁ V₁_₁3
b) If Vje Span { V₁, V₂ + }, je{ 2, mim] than span (5)
= Span (S\{ v³})](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc11860f6-8bd4-44f9-9f28-9639f8997d02%2F8af60973-1796-4f6f-9793-a9e213e16050%2F95cj8ip_processed.png&w=3840&q=75)
Transcribed Image Text:Let S = { √, , ..., v₁₂ ²³ CV, V is Vector space and my 1
a) If V₁ #0² => S is linear dependence iff Jjef ²₁.m³
s.t.
V.E span {V₁₁₁ V₁_₁3
b) If Vje Span { V₁, V₂ + }, je{ 2, mim] than span (5)
= Span (S\{ v³})
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