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. [100] 3 36 5 2 1 0 0 1 0 A -5 1 5 2 00 1 2 6 -2 00 -5 12 6 [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.