"Span(u1,..., in) = Span(71,..., Tn, w) if and only if J1,..., Un, w are linearly depen- dent."
"Span(u1,..., in) = Span(71,..., Tn, w) if and only if J1,..., Un, w are linearly depen- dent."
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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Question
Kindly correctly and handwritten
Transcribed Image Text:5.
ints) Let v1,..., Un be vectors in a vector space V. Suppose w is another
vector in V. Determine whether or not the statement:
"Span(71,
dent."
In) = Span(T1,..., Tn, w) if and only if i,.
Un, w are linearly depen-
....
...
is always true. If it is true, prove it. If it is false, provide an example showing why it
is false.
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