Let W = {[x]∈ R2^ | y > or equal to 0} . [y] (a) If u and v are vectors in W , is u + v in W ? Justify your answer. (b) Find a specific vector u in W and a specific real scalar c such that cu is not in W

Let W = {[x]∈ R2^ | y > or equal to 0} . [y] (a) If u and v are vectors in W , is u + v in W ? Justify your answer. (b) Find a specific vector u in W and a specific real scalar c such that cu 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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Question

Let W = {[x]∈ R2^ | y > or equal to 0}
. [y]
(a) If u and v are vectors in W , is u + v in W ? Justify your answer.
(b) Find a specific vector u in W and a specific real scalar c such that cu is not in W

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