Recent content by 1nonly

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    Linear Transformation and Linear dependence - Proof

    Homework Statement Let T:Rn to Rm be a linear transformation that maps two linearly independents vectors {u,v} into a linearly dependent set {t(u),T(v)}. Show that the equation T(x)=0 has a nontrivial solution. Homework Equations c1u1 + c2v2 = 0 where c1,c2 = 0 T(c1u1 + c2v2) = T(0)...