b.If `A= [[2,-4], [-5,3]]` then `A+A^t`

If A=[[2, 3], [4, 5]] , prove that A-A^T is a skew-symmetric matrix.

If A=[[1,-2, 3,],[ 4, 2, 5,]] and B=[[2, 4], [2,3],[ 5, 1]] , then find AB, BA. Show that A B!=B A .

.If A=[[1,4,7],[2,5,8]] and B=[[-3,4,0],[4,-2,-1]] then show that (A+B)^T=A^T+B^T

If A=[[2 , 4 ,-1] , [-1 , 0 , 2]] , B=[[3 , 4], [-1 ,2] , [ 2 ,1]] , find (A B)^T .

If A=[[2,3,4],[1,2,3],[4,-5,7]], B= [[2,5,-1],[3,-1,2],[7,2,-3]] , verify that (A+B)'=A'+B'

If A=[[3] , [ 5] , [2] ] and B=[1\ \ 0\ \ 4] , verify that (A B)^T=B^T\ A^Tdot

If A^T=[[3, 4],[-1, 2], [0 ,1]] and B=[[-1, 2, 1],[ 1, 2, 3]], find A^T-B^T

If A=[[2,3,-4],[1,0,6],[-2,1,5]],B=[[5,1,2],[6,-1,4],[5,3,-4]] , find 2A-3B .

If A = {1, 2, 3}, B = {3, 4, 5}, then (A nn B) xx A is

For the matrices A and B , A=[[2 ,1 ,3 ] , [4 ,1 ,0 ]] , B=[[1 , -1] , [ 0, 2 ] , [ 5 , 0]] verify that (A B)^T=B^T\ A^T