Vλ.με R,v 1ιν D: λί + μύεD

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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Good morning, could you help me with the following demonstration? Thank you very much
Prove that for any vector space E, if I have a family F defined inside E, the set of linear combinations of F is going to be a vector subspace included inside E.
Denoted vect(F) belongs to E

The first image represents the linear combinations
The second image represents the property that can help to demonstrate this problem

 

u', u?,...i'.. E E
Transcribed Image Text:u', u?,...i'.. E E
V 2, jµ E IR , Vū, i e D: Aŭ + µv e D
Transcribed Image Text:V 2, jµ E IR , Vū, i e D: Aŭ + µv e D
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