→ → → → → If for some subspace HCR and list of vectors V1, V2, V3, V4, V5 € R", one has → Span{V₁, V2, V3, V₁} = H and Span{√2, V3, V4, V5} = H, →→ → then Span{V₁, V2, V3, V₁, V5} = H as well.

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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Can you explain why the statement in the image is true?

→→ → → →
If for some subspace HC R" and list of vectors V1, V2, V3, V4, V5 €
R", one has
←
Span{V₁, V2, V3, V4} = H and Span{√2, V3, V4, V5} = H,
then Span{V₁, V2, V3, V4, V5} = H as well.
Transcribed Image Text:→→ → → → If for some subspace HC R" and list of vectors V1, V2, V3, V4, V5 € R", one has ← Span{V₁, V2, V3, V4} = H and Span{√2, V3, V4, V5} = H, then Span{V₁, V2, V3, V4, V5} = H as well.
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