a Let W be the subset of vectors in R³ of the form b where b = 2a + 4c and ac ≥ 0. -8- с Show W is NOT closed under addition (and thus, not a subspace) via counterexamples: V = and w = are both in W, but v + w is NOT in W.
a Let W be the subset of vectors in R³ of the form b where b = 2a + 4c and ac ≥ 0. -8- с Show W is NOT closed under addition (and thus, not a subspace) via counterexamples: V = and w = are both in W, but v + w is NOT in W.
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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Transcribed Image Text:a
Let W be the subset of vectors in R³ of the form b where b = 2a + 4c and ac > 0.
C
Show W is NOT closed under addition (and thus, not a subspace) via counterexamples:
V =
and w =
are both in W, but v + w is NOT in W.
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