" (ii) "A=[[0],[1],[2]],B=[[1,5,7]]

For the matrices A and B, verify that (AB)' = B'A' , where : A = [[0],[1],[2]], B = [[1,5,7]]

For matrics A and B, verify that (AB)^T=B^T . A^T , where A=[[0],[1],[2]], B=[[1,5,7]]

If A = {:[(0),(1),(2)], B = [1,5,7], verify that (AB)' = B'A'.

If A=[[2,5,6] , [0,1,2]], B =[[6,1] , [0,4] , [5,7]] then verify that (AB)'=B'A'

" (b) Find the rank of the matrix : "A=[[2,1,4,7],[3,6,2,1],[0,0,1,5]]

If A = [[1,0,1],[0,2,3],[1,2,1]] and B = [[1,2,3],[1,1,5],[2,4,7]] , then find a matrix X such that XA = B .

If A=[[1,0,5],[3,2,7],[5,4,8]],B=[[3,1,2],[9,0,-6],[7,4,1]],C=[[2,0,-1],[7,5,6],[1,1,4]] , verify that A+(B+C)=(A+B)+C

If A=[[1,4],[0,5],[6,7]] and B=[[2,3,-1],[1,0,-7]] , verify that (AB)\'=B\'A\'