(1 point) Suppose 111,112,113, and a4 are vectors in [R3, A = (al | a; I a; I a4), and 1 0 1 4 rref(A) = O 1 2 1 0 0 0 0 a. Select all of the true statements (there may be more than one correct answer). '7' A. a1 and a2 are in the null space of A '7' B. {a1, a2, a3, a4} is not a basis for [R3 H 0- {a1 , a2, a3} is a linearly independent set '7' D. {a1 , a2} is a linearly independent set '7' E. {a1 , a2, a3, a4} is a linearly independent set \"'F- Span{a1,a2,asaa4} = R3 "'6. {a1,a2,a3,a4} isabasis for R3 '7' H. span{a1, a2} = [R3 b. If possible. write 33 as a linear combination of a1 and a; ; othenNise, enter DNE. Enter a1 for al , etc. a3 = c. If possible, write a4 as a linear combination of a1 , a2, and a3 ; othenivise, enter DNE. a4 = d. The dimension of the column space of A is , and the column space of A is a subspace of e. The dimension of the null space of A is , and the null space of A is a subspace of f. Find a basis for the null space of of A. Enter your answer as a comma separated list of vectors of the form or where a.b.... are numbers. A basis for the null space of A is { }