anonymous
  • anonymous
Linear algebra question (follows in posts)
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
|dw:1328672713805:dw|
bahrom7893
  • bahrom7893
got an A, but suck at it.. let's see if i can help haha
anonymous
  • anonymous
|dw:1328672772767:dw|

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anonymous
  • anonymous
either show that Sp(S) = R^2 or give an algebraic specification for Sp(S). If Sp(S) =\= R^2, then give a geometric description of S.
bahrom7893
  • bahrom7893
crap, don't remember any of the definitions.. what was Sp again?
anonymous
  • anonymous
Sp is span, R^2 is 'two space'
bahrom7893
  • bahrom7893
I think what the question is asking is that you have to be able to rewrite all vectors in R^2 in terms of a and c. Actually I really am not sure how to even approach this.
bahrom7893
  • bahrom7893
I'm askin myin for help.. hold on, hopefully she'll show up
anonymous
  • anonymous
Thanks
bahrom7893
  • bahrom7893
teamwork lol.. (this is why u shouldn't take summer math courses, you go by so fast that you forget everything)
anonymous
  • anonymous
Yeah, same happened to me with Statistics, haha
anonymous
  • anonymous
I'm ducking out, if someone comes by post up a solution...be back in a few
bahrom7893
  • bahrom7893
ok
anonymous
  • anonymous
back
anonymous
  • anonymous
|dw:1328673881252:dw| |dw:1328673892248:dw| either show that Sp(S) = R^2 or give an algebraic specification for Sp(S). If Sp(S) =\= R^2, then give a geometric description of S
anonymous
  • anonymous
the second vector is a multiple of the first (multiply by -2) so the subspace is the spaced spanned by {1,-1} in other words all multiples of this vector.
anonymous
  • anonymous
Is [1, -1] in R^2?
anonymous
  • anonymous
sure
anonymous
  • anonymous
all combinations of this think will look like {x, -x} so basically you have the line \[y=-x\]
anonymous
  • anonymous
okay, thanks.
anonymous
  • anonymous
I have a follow up question too, you have time?
anonymous
  • anonymous
|dw:1328674387150:dw| is Sp(S) in R^3?

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