2. Consider the matrix 2 1 3 5 0 A = -1 0 - 1 2 4 a) [2 points] Suppose that we label the column vectors of A as v1, V2, V3, V4, and v5, and W = col(A). What is the largest possible value of dim(W)? Give a brief justification as to how you got your answer. Becuse Vi, Vz, V3, Vy, VJ G RS the largest possible jimswa = 3, because if the dimsud 23, then the columns VIN be lisearly dependent and Therefore not a boyis aR W. The dimiwr) is the number as vectors in the has WJ So if it's hot abasis , then You can't get the dimiw ) , b) [7 points] Use the reduction algorithm to find a basis B for W. Calculate dim(W). dim(w) = 3 because there are 3 vectors in the basis of w