True or False? If ₁ and 2 are linearly independent, and if {₁, 72, 73} is a linearly dependent set, then V3 € Span {V₁, V2}. True False Explain your response.
True or False? If ₁ and 2 are linearly independent, and if {₁, 72, 73} is a linearly dependent set, then V3 € Span {V₁, V2}. True False Explain your response.
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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please explain
Transcribed Image Text:True or False?
If №₁ and 2 are linearly independent, and if {V₁, V2, V3} is a linearly dependent set, then
1,
73 € Span {V₁, V₂}.
True
False
Explain your response.
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