Instructions: Do all problems by hand. NO CALCULATORS on this quiz.
Problem 1. (20 points) Let A1, A2, and B be the vectors below. Determine whether or not B is in the span of A1 and A2. Show your work.
Problem 2. (10 points) True or False. If true, explain. If false, give a counterexample. If an m x n matrix A has a pivot in every column, then Ax = b is consistent for any b in Rn.
Problem 3. (20 points) Find all solutions of Ax = B, where
