If `A=[[1,3,4],[8,-4,2],[1,-2,5]]`, then `A+A^T=?`

If A=[[1, 2, 3], [3, 4, 5], [4, 6, 8]] , then

If A=[[2,3,1] , [1,3,2] , [1,2,3]], B=[[4,1,2] , [2,4,1] , [1,4,2]] verify that (A+B)^T=A^T+B^T

If A=[[2,-1,2],[1,3,-4]],B=[[1,-2],[-3,0],[5,4]] then verify that (AB)^(T)=B^(T)A^(T)

If A=[[7,-2],[-1,2],[5,3]] and B=[[-2,-1],[4,2],[-1,0]] then find AB^(T) and BA^(T)

If A=[(1,2,5),(2,4,8)]_(2xx3) then A' = A^T=[(1,2),(2,4),(5,8)]_(3xx2)

If, A=[(1,1,2),(0,-3,5),(-2,3,4)] ,then is 4A=[(4,4,8),(0,-12,20),(-8,12,16)] ?

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

If A=[[3,2,1] , [-5,0,-6]] and B= [[-4,-5,-2], [3,1,8]] then verify that (A+B)^T=A^T+B^T

If A=[[2,-3],[-4,7]] and B=[[8,-2],[3,-1]] ,verify that (AB)^(t)=B^(t)A^(t)

If A={:[(2,3,5,6),(-1,2,-3,4)]:}andB={:[(4,-5,3,7),(8,-3,-1,2)]:} , then find A^(T)+B^(T)and(A+B)^(T) . What do you notice ?