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 :)
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I think you may need to go through and show that it satisfies each axiom for being a vector space in Rn
closed under addition, closed under scalar multiplication, commutative addition, that a zero vector exists, etc
we are oinly given one vector though, where the axioms talk about having 2 vectors and adding them and such