1 5-5 4 Determine if w= 2 is in Nul A, where A = 4 -4 4 -1 -1 4 -3 Is w in Nul A? Select the correct choice below and fill in the answer box to complete your choice. (Simplify your answer.) A. Yes, because Aw= ○ B. B. No, because Aw= Complete parts (a) and (b) for the matrix below. -5-76 - 8 A = -4 71-6 (a) Find k such that Nul(A) is a subspace of RK. k = For the matrix A below, find a nonzero vector in Nul A and a nonzero vector in Col A. -6 12 -2 4 A = 6 -12 -8 16 A nonzero vector in Nul A is Let A = -16 64 -4 16 4 and w= Determine if w is in Col(A). Is w in Nul(A)? 1 Determine if w is in Col(A). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The vector w is in Col(A) because the columns of A span R². B. The vector w is in Col(A) because Ax = w is a consistent system. One solution is x = C. The vector w is not in Col(A) because Ax = w is an inconsistent system. One row of the reduced row echelon form of the augmented matrix [A 0] has the form [00 b] where b = OD. The vector w is not in Col(A) because w is a linear combination of the columns of A. Is w in Nul(A)? Select the correct choice below and fill in the answer box to complete your choice. (Simplify your answer.) ○ A. The vector w is in Nul(A) because Aw = B. The vector w is not in Nul(A) because Aw =