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  1. A

    Is this proof correct? If {u,v,w} is a basis for V then {u+v+w,v+w,w}is also a basis?

    Let u,v,w\in V a vector space over a field F such that u≠v≠w. If { u , v , w } is a basis for V. Prove that { u+v+w , v+w , w } is also a basis for V. Proof Let u,v,w\in V a vector space over a field F such that u≠v≠w. Let { u , v , w } be a basis for V. Because { u , v , w } its a basis...
  2. A

    Easy analysis proof help

    Homework Statement Prove that D={\frac{m}{2^{n}} : n\in N , m=0,1,2,...,2^{n}} (dyatic rationals set) is dense on [0,1] , i.e. if (a,b) \subset [0,1] then (a,b) \bigcap D \neq emptyset Homework Equations The Attempt at a Solution Is it wrong if I just state that because a,b\in\Re we know...
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