If `A=[[1,3,4],[2,6,7]]`,show that `(A')'=A`

If A=[[2,4,6],[3,5,7] ,show that (A')'=A

If A=[[7,-14],[4,-8]] ,show that A^3=A

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

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

Answer the following questions.If A=[[2,-2,-4],[-1,3,4],[1,-2,-3]] , show that A^2=A

If A = [[3,1],[-1,2]] then show that: A^2-5A+7I = 0 .

Answer the following questions.If A=[[4,-1,-4],[3,0,-4],[3,-1,-3]] ,show that A^2=I

Answer the following questions. If A=[[1,-1,0],[2,3,4],[0,1,2]] and B=[[2,2,-4],[-4,2,-4],[2,-1,5]] ,show that BA=6I

If A=[[3,4],[-4,3]] and B=[[2,1],[-1,2]] show that (A+B) . (A-B)=A^2-B^2