2.76 Let 2 2 NN E 6 4 10 14 20 2V/2 -V2 0 4V/2 e T + 2e A = V2 V3 V2+ 2V/3 2V/2 In 5 6 In 5 + 12 21n 5 -7 -14 17 -24 31 34 2 2 6 4 (a) What is the rank of A? Explain. (b) What is the dimension of the nullspace of A? (c) Is the equation AX - B solvable for all B? (d) Does the equation AX = B have at most one solution? Explain. (e) Find two different bases for the row space of A. Use some theorems from linear algebra to justify your answer.(f) I claim that the nullspace of A is the solution set of the following system of equations. Explain. x+ y + 3z + 2w =0 " -7x + 4y+ z - 14w = 0