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anonymous
 5 years ago
Help....too much math today. Show that the collection of all ordered 3tuples (x1, x2, x3) whose components satisfy 3x1x2+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 :)
anonymous
 5 years ago
Help....too much math today. Show that the collection of all ordered 3tuples (x1, x2, x3) whose components satisfy 3x1x2+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 :)

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I think you may need to go through and show that it satisfies each axiom for being a vector space in Rn

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0closed under addition, closed under scalar multiplication, commutative addition, that a zero vector exists, etc

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0we are oinly given one vector though, where the axioms talk about having 2 vectors and adding them and such

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0you can make 2 arbitrary vectors <a, b, c> and <e, d, f>

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0then proceed through it. i.e. if both satisfy the equation, then 3(a+e)  (b+d) + 5(c + f) = 0

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0and do that sort of process with all the axioms

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok cool, I get it now
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