Theorem on linear dependence : Linear Algebra

This video containing a THEOREM ON LINEAR DEPENDENCE. For textual content, go to " http://ancient-trigonometry.blogspot.com " and then type " THEOREM ON LINEAR DEPENDENCE " in SEARCH BOX , you will directed to textual content of this video. Theorem : Let V ( F ) be a vector space and S = { 𝜶1, 𝜶2, … , 𝜶n } is a finite subset of non – zero vectors of V ( F ). Then S is linearly dependent if and only if some vector 𝜶k 𝟄 S , 2 ≤ k ≤ n , can be expressed as a linear combination of its preceeding vectors.