kindly write detailed solution with proper explanation..

Problem 5 4 points a) If matrix AB exists and has dimensions 3 by 5 then can BA exist? / explain!/ b) If C + 2D exists and has dimensions 3 by 1 then what is dimensions of D'C ? / explain your answer/ Problem 6 3 points (2A) = 4 0 where x is non zero number. Find matrix A Problem 7 6 points Prove using definition of multiplication that if A has row of zeros and AB is defined then AB has row of zeros. Problem 8 6 points / Prove using properties/ Prove that if A and B are skew symmetric then A+B is skew symmetric