. Ex 8: (Rank and nullity of a matrix) Let the column vectors of the matrix A be denoted by aj, a2, az, a4, and as: 1 0 - 2 1 0 - 1 3 1 3 0 A= - 2 - 1 1 - 1 3 0 3 9 0 -12 a a2 а; 24 a5 (a) Find the rank and nullity of A. (b) Find a subset of the column vectors of A that forms a basis for the column space of A. (c) If possible, write the third column of A as a linear combination of the first two columns.