3 Section 2A - Span and Linear Independence Problem 1 Write down the definition of what it means for vectors v1, ..., Un E V to span V. Write down the definition of what it means for vectors v1, ..., Un E V to be linearly independent. Problem 2 Consider the set of vectors x, x + 3x2, x3,x2 ( P[x]. Is this set linearly independent? Does this set span P x]? Problem 3 Let S1, S2 C V be two sets of vectors which each span V, show that S1 U S2 span V. Problem 4 Let S1, S2 C V be two sets of vectors which are each linearly independent, show that S1 n S2 is linearly independent