W = (b) 2t + 3s 4t + 6s 8t + 12s/ {( :t, s ER (a) Is W a subspace of R³? If it is, prove your claim using the definition a subspace and give a spanning set for W. Otherwise, explain why not by givin counterexample. Find a basis for the orthogonal complement W+.

Advanced Engineering Mathematics
10th Edition
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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2t + 3s
4t + 6s
8t + 12s/
(a)
Is W a subspace of R³? If it is, prove your claim using the definition of
a subspace and give a spanning set for W. Otherwise, explain why not by giving a
counterexample.
{(
(b)
W =
:t, s ER
Find a basis for the orthogonal complement W+.
Transcribed Image Text:2t + 3s 4t + 6s 8t + 12s/ (a) Is W a subspace of R³? If it is, prove your claim using the definition of a subspace and give a spanning set for W. Otherwise, explain why not by giving a counterexample. {( (b) W = :t, s ER Find a basis for the orthogonal complement W+.
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