anonymous
  • anonymous
Help....too much math today. Show that the collection of all ordered 3-tuples (x1, x2, x3) whose components satisfy 3x1-x2+5x3=0 forms a vector space with respect to the usual operations of R3...don't really need an answer as much as I need someone to shed light on the problem :)
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
I think you may need to go through and show that it satisfies each axiom for being a vector space in Rn
anonymous
  • anonymous
closed under addition, closed under scalar multiplication, commutative addition, that a zero vector exists, etc
anonymous
  • anonymous
we are oinly given one vector though, where the axioms talk about having 2 vectors and adding them and such

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anonymous
  • anonymous
you can make 2 arbitrary vectors and
anonymous
  • anonymous
oh ok thanks
anonymous
  • anonymous
then proceed through it. i.e. if both satisfy the equation, then 3(a+e) - (b+d) + 5(c + f) = 0
anonymous
  • anonymous
and do that sort of process with all the axioms
anonymous
  • anonymous
ok cool, I get it now

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