Let W be the set of all vectors of the form 2c 3 b - k 3 C where b and ceR. Find vectors u and v such that W = Span{u, v}. Why does this show that W is a subspace of R³? Show all your work do not skin stens

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Let W be the set of all vectors of the form
2c
b
3
O
b
3
where b and c ER.
Find vectors u and v such that W = Span{u, v}.
Why does this show that W is a subspace of R³?
Show all your work, do not skip steps.
Transcribed Image Text:Let W be the set of all vectors of the form 2c b 3 O b 3 where b and c ER. Find vectors u and v such that W = Span{u, v}. Why does this show that W is a subspace of R³? Show all your work, do not skip steps.
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