Linear algebra

Consider that A is matrix with all entries are real numbers. 2 0 2 5 -2 -5 1 -1 -8 A= 3 4 1 3 6 0 7 16 Determine 1. Basis of row space and column space matrix A 2. Null space matrix A 3. Rank (A) and Nullity (A) 4. Rank (A^T) and Nullity (A^T) 5. Numbers of nonzero rows 6. Numbers of free variables in the solution space of Ax=0