Question: Show that a set S = {v1, v2, ( ( ( ( vn} of vectors in Rn (Rn) spans Rn (Rn) if and only if

Show that a set S = {v1, v2, ( ( ( ( vn} of vectors in Rn (Rn) spans Rn (Rn) if and only if the rank of the matrix whose jth column (jth row) is vj is n.

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