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)...