Suppose that S = {,..., u} and T = (V,...,V) are both linearly indepen- dent sets...

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Suppose that S = {₁,..., u} and T = (V₁,...,V) are both linearly indepen- dent sets of vectors in R". Show that {u₁,..., u, V₁, Vk) is linearly independent if and only if span(S) span(T) = {0} Suppose that S = {₁,..., u} and T = (V₁,...,V) are both linearly indepen- dent sets of vectors in R". Show that {u₁,..., u, V₁, Vk) is linearly independent if and only if span(S) span(T) = {0}