anonymous
  • anonymous
If S a subspace of R^3 consisting of all vectors orthogonal to g =[1, 2, 4], how I show S is a subspace of R^3; Find the basis of S
MIT 18.06 Linear Algebra, Spring 2010
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
let a, b a vector in S, ie orthogonal vectors to g. a transpose * g = 0 , b transpose * g = 0 then (a+b)transpose * g = 0. similarly ka transpose * g = 0. Therefore S is a subspace. from orthogonality p+2q+4r = 0. and (-2,1,0) (-4,0,1) are special solutions(from the lecture) and they are the basis.

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