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O Let v be a vector SpALE over a field F, let s be a linearly independint suloset & v (ya may assome that S is finitě), and let JE V. Show that ef D e ScOn (s) then suE u Š i indypendent.

O Let v be a vector SpALE over a field F, let s be a linearly independint suloset & v (ya may assome that S is finitě), and let JE V. Show that ef D e ScOn (s) then suE u Š i indypendent.

Advanced Engineering Mathematics
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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O Let v be a vector Space over a field F, let S be a linearly independent Sulbset and let tE V. Show that ef v e ScOun (s) then SuEus is lineanly independent. A vlyou may assome that S is finite), SOn (6) then SUEU is lineany
Transcribed Image Text:O Let v be a vector Space over a field F, let S be a linearly independent Sulbset and let tE V. Show that ef v e ScOun (s) then SuEus is lineanly independent. A vlyou may assome that S is finite), SOn (6) then SUEU is lineany
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