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Hey-everyone-Could-someone-help-in-this-question-below-The-vectors-1-2-5-3-2-1-and-9-2-11-in-R-3-generate-the-vector-subspace-to-wich-belongs-the-vector-a-20-8-12-b-2-10-

Question Number 48724 by indalecioneves last updated on 29/Nov/18 Hey,everyone!Couldsomeonehelpinthisquestionbelow?Thevectors(1,2,5),(3,2,1)and(9,2,11)inR3generatethevectorsubspacetowichbelongsthevector?a)(20,8,12)b)(2,10,33)c)(9,10,18)d)(5,2,2)$$\left.{e}\right)\:\left(\mathrm{31},\:\mathrm{18},\:\mathrm{0}\right)…

Question-113897

Question Number 113897 by Lordose last updated on 16/Sep/20 Answered by mathmax by abdo last updated on 17/Sep/20 $$\mathrm{let}\:\mathrm{u}_{\mathrm{n}} =\frac{\mathrm{3}^{\mathrm{n}} }{\:\sqrt{\left(\mathrm{3n}−\mathrm{2}\right)\mathrm{2}^{\mathrm{n}} }}\:\Rightarrow\mathrm{u}_{\mathrm{n}} =\frac{\left(\frac{\mathrm{3}}{\:\sqrt{\mathrm{2}}}\right)^{\mathrm{n}} }{\:\sqrt{\mathrm{3n}−\mathrm{2}}}\:\:\left(\mathrm{n}\geqslant\mathrm{1}\right)\:\Rightarrow \