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3 Let v= 3 V = 1 be in R'. Let W = span(v,,v,). Determine if v is in W. 3

3 Let v= 3 V = 1 be in R'. Let W = span(v,,v,). Determine if v is in W. 3

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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3 Let v= 3 V = 1 be in R'. Let W = span(v,,v,). Determine if v is in W.
Transcribed Image Text:3 Let v= 3 V = 1 be in R'. Let W = span(v,,v,). Determine if v is in W.
Expert Solution
Step 1

v = (3, 3,4) , v1= (1, -1, 2) and v3= (2, 1,3) 

and  W = span(v1, v2 ) 

span (v1, v2 ) contains all the vectors which are linear combination of v1 , v2 .

=> W contains all the vectors which are linear combination of v1, v2 .

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