10. If the vector v = (2, 2, 1, 1, 0) is in the null space of 1 2 A= 1 -3 2 2 2 4 4 -3 -3 -10 a 2-3 -2 4 1 B -4 2 -27 1

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10 If The Vector V 2 2 1 1 0 Is In The Null Space Of 1 2 A 1 3 2 2 2 4 4 3 3 10 A 2 3 2 4 1 B 4 2 27 1 1 (39.32 KiB) Viewed 26 times

10. If the vector v = (2, 2, 1, 1, 0) is in the null space of 1 2 A= 1 -3 2 2 2 4 4 -3 -3 -10 a 2-3 -2 4 1 B -4 2 -27 1 0 0 3 for a, B e R, which of the following statements are correct? I. Rank(A) = 2. II. The dimension of the null space of A is 2. A III. {(1, 4, 2, 1),(-3, -3, -3,0),(-2, 1, 0,3)} is a basis for the column space of A. IV. {(1, -3, 2, 2, -2),(0, 1, 2, 0, 1)} is a basis for the row space of A. (a) II only (b) II, III (c) I, IV (d) II, IV (e) II, III, IV