4 Section 2B - Bases Problem 1 Write the definition of basis of vector space. Problem 2 Give a basis for Plx]. Problem 3 Let B1, B2 C V be two bases of vector space V with B1 * B2. Is it true that B1 n B2 is also a basis for V? Why or why not? Is it true that B1 U B2 is also a basis for V? Why or why not? Problem 4 Suppose that v1, V2, 13, v4 is a basis for vector space V. Is it true that v1 + 2v2, V2 + 203, v4 is also a basis for V