" If "B=[[1,2],[4,2]]," then show that "|2B|=4|B|

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

If A=[[1,2],[3,5]],B=[[0,4],[2,-1]] show that AB!=BA but |AB|=|A|.|B|

if A = [[-1, 1 ],[0 ,4 ]] and B = [ [ -3 , 2 ] , [ 0 ,-1 ] ] then show that ( A + B )^2

If A=[[2,-3],[5,-4],[-6,1]],B=[[-1,2],[2,2],[0,3]] and C=[[4,3],[-1,4],[-2,1]] show that: A+B=B+A

If A= [[2,4,-1],[-1,0,2]], B=[[3,4],[-1,2],[2,1]] , Show that (AB)'=B'A' .

If A= [[2,4,-1],[-1,0,2]], B=[[3,4],[-1,2],[2,1]] , Show that (AB)'=B'A' .

If A=[[1,2],[3,4]],B=[[1,2],[2,1]] . Show that (AB)^(-1)=B^(-1)A^(-1)

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

(i) if A=[{:(1,-4),(3,1):}]and b=[{:(1,0,5),(-2,4,3):}], then show that : (AB)'=B'A' (ii) if A=[{:(2,3),(0,1):}]and B=[{:(3,4),(2,1):}], then prove that : (AB)'=B'A'