Determine the rank of matrix A, if possible, from the given information. (a) A is an n-by-n matrix with linearly independent columns. (b) A is a 6-by-4 matrix and Null(A) = {O}. (c) A is a 5-by-6 matrix and dim(Null(A)) = 3. (d) A is a 3-by-3 matrix and det (A) = 17. (e) A is a 5-by-5 and dim(Row(A)) = 3. (f) A is an invertible 4-by-4 matrix. (g) A is a 4-by-3 matrix and Ax = b has either a unique solution or else no solution. (h) A is a 8-by-8 matrix and dim(Row(AT)) = 6. (i) A is a 7-by-5 matrix in which dim(Null(Ar)) = 3.