Recognize when a set of vectors is closed under addition and/or scaling Determine if a vector is in the column space of a matrix Problem 1: For each set, determine if it is closed under addition, scaling, both, or neither. (You do not need a proof.) a. In R', the set of vectors with integer components. b. In R2, the set of vectors in the first and third quadrants. 3 Problem 2: Let A = 0 1 4 . Without elimination or other work, determine if the following vectors 4 are in the column space of A. 3 a. x1 = [10 b. X2 C. X3 NHO Problem 3: Let B = NON -2 1 6 11] Use elimination to determine if x = is in the column space of B