Q5Comprehension1 Mark13 Apr 2025PassageBased on the above data, answer the given subquestions. Let v1=(−1,1,−1)v_1 = (-1, 1, -1)v1=(−1,1,−1), v2=(2,0,2)v_2 = (2, 0, 2)v2=(2,0,2), v3=(1,−2,1)v_3 = (1, -2, 1)v3=(1,−2,1), and W=span{v1,v2,v3}W = \text{span}\{v_1, v_2, v_3\}W=span{v1,v2,v3}.Let AAA be a 3×33 \times 33×3 matrix such that v1v_1v1 and v2v_2v2 are the first 2 columns of AAA. Choose the correct option from the following.AIf v_3 is the third column of A, then Ax = 0 has a unique solution.BIf v_1 + v_2 is the third column of A, then Ax = 0 has infinitely many solutions.CThe system Ax = 0 will not have any solution if the third column of A is v_1 or v_2.DIf v3v_3v3 is the third column of AAA, then Ax=bAx = bAx=b will not have a solution for any b∈R3b \in \mathbb{R}^3b∈R3.