Find bases for the column space, the row space, and the null space of matrix A. You should verify that the Rank-Nullity Theorem holds. An equivalent echelon form of matrix A is given to make your work easier. 3 36 5 1 0 0 2 1 O O l 0 A = 5 1 5 N 0 l] 1 2 5 3 0 l] 0 5 l2 5 0 0 0 Basis for the column space of A is Basis for the row space of A is {. , } Note that since the only solution to Ax : 0 is the zero vector, there is no basis for the null space of A