bet A bea vector in Kn. Let W=SBE K"|BiA-OSprove wisa Sukspace OF kn,vector in Kn. Let W=EBE K"|BA-o3.YO13

Given A be a vector in kn. Let W=B∈Kn|BA=0. We have to prove that W is a subspace of kn. Let B∈Kn…

Answered: bet A be a vector in Kn. Let W=EBEK"|B…

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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Suppose V={v1,v2,...,vn} is a set of nonzero vectors, and let x= a1v1 + a2v2 +...+ anvn and alsox= b1v1 + b2v2 +...+ bnvn where at least one bi≠ai Explain why this means 0=c1v1+c2v2+...+cnvn for some ci, where at least one ci≠0
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bet A be a vector in Kn. Let W=EBEK"|B AoO}, Prove w isa sukspace OF kn.