Here are three vectors in R4 ū= 0 A vector in Span{u, ü} but not in Span {u} or in Span{v}: In each case, give an example of a vector in R4 satisfying the stated conditions. 0 1 5 V = 0 0 1 5 W= A vector in Span{u, v, w} but not in any of the three sets Span{u, }, Span{u, w} or Span{v, w}: | -2 4 -1 1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Here are three vectors in R4:
1
-0-0-0
=
5
In each case, give an example of a vector in R+ satisfying the stated conditions.
A vector in Span{u, v} but not in Span{u} or in Span{v}:
0
1
5
0
E
A vector in Span{u, v, w} but not in any of the three sets Span{u, v}, Span{u, w} or Span{v, w}:
-2
4
-1
1
E
Transcribed Image Text:Here are three vectors in R4: 1 -0-0-0 = 5 In each case, give an example of a vector in R+ satisfying the stated conditions. A vector in Span{u, v} but not in Span{u} or in Span{v}: 0 1 5 0 E A vector in Span{u, v, w} but not in any of the three sets Span{u, v}, Span{u, w} or Span{v, w}: -2 4 -1 1 E
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