" 3.(i) "quad " Af an "A=[[-2],[4],[5]],B=[[1,3,-5]]

If =[[-2],[4],[5]], B=[1,3,-5] , verify that (AB)\'=B\'A\'

Let A=[[2,4],[3,2]] , B=[[1,3],[-2,5]] , C=[[-2,5],[3,4]] Find each of the folowing A+B , A-B

If A=[[2,-1,3],[4,0,5]] and B=[[-3,-2,-1],[-5,5,1]] .Verify that (A+B)'=A'+B'

If A=[[2,-1,3],[4,0,5]] and B=[[-3,-2,-1],[-5,5,1]] .Verify that (A-B)'=A'-B'

If A=[[2,-1,3],[4,0,5]] and B=[[-3,-2,-1],[-5,5,1]] .Verify that 3(A+B)=3A+3B

If A=[[-1,2,3],[5,7,9],[-2,1,1]] and B=[[-4,1,-5],[1,2,0],[1,3,1]] , then verify that (i) (A+B)'=A'+B' (ii) (A-B)'=A'-B'

If A=[[2,3],[4,-1]] and B=[[3,0],[4,5]] then find (i) 3A+2B and (ii) 5A-3B

If A = [[2/3,1,5/3],[1/3,2/3,4/3],[7/3,2,2/3]] and B = [[2/5,3/5,1],[1/5,2/5,4/5],[7/5,6/5,2/5]] , then compute 3A-5B

If A=[(2 ,-3, -5), (-1, 4, 5),( 1, -3 ,-4)] and B=[(-1, 3, 5), (1,-3, -5) , (-1, 3, 5)] , show that A B=B A=O_3xx3 .

Let A=[[1 ,1, 1],[ 3, 3, 3]] , B=[[3,1], [5, 2],[-2, 4]] and C=[[4,2],[-3,5],[ 5 ,0]] . Verify that A B=A C though B!=C ,\ A!=O .