Lecture 17: Linear Algebra ( An essential theorem for vector subspaces.)

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A subset S of a vector space V is a subspace if and only if au+bv is in S for all a,b in the field F and u, v in S. #Mathsforall #Gate #NET #UGCNET @Mathsforall
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In vector space theorem... In the third property for zero element.... First you said that S is non empty then how 0 belongs to S subset???

ansariaburehan