If `A=[[6,-2],[3,8]]` , show that `(A^T)^T=A`

If A=[[2,4],[5,6]] , show that (A-A^T) is a skew symmetric matrix, where A^T is the transpose of matrix A.

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

If A=[[3,-47,8]], show that A-A^(T) is a skew symmetric matrix where A^(T)1 s the transpose of matrix A

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

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=[[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={:[(5,6),(7,8)]:}," then "(A+A^(T))/(2) is _______ .

If A=[[1,-24,5]] and f(t)=t^(2)-3t+7 then f(A)+[[3,6-12,-9]]=

if A=[[1,-24,5]] and f(t)=t^(2)-3t+7 then f(A)+[[3,6-12,-9]]=

If x=7/(1+t^3), y=(7t)/(1+t^3) , then show that (dy)/(dx)=(2t^3-1)/(3t^2)