If `A=[[-1,2,1],[-3,2,-3]]`and `B=[[2,1],[-3,2],[-1,3]]`, prove that`(A+B^T)^T=A^T+B`

If A=[[5,-3],[4,-3],[-2,1]] ,prove that (A^T)^T=A

If A=[[1,2,-5],[2,-3,4],[-5,4,9]] ,prove that (A)^T=A

If A=[[2,-1],[3,-2],[4,1]] and B=[[0,3,-4],[2,-1,1]] ,verify that (AB)^T=B^TA^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=[[2,-1],[3,-2],[4,1]] and B=[[0,3,-4],[2,-1,1]] ,verify that (BA)^T=A^TB^T

Answer the following questions.If A=[[2,-4],[3,-2],[0,1]],B=[[1,-1,2],[-2,1,0]] ,show that (AB)^T=B^TA^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

Answer the following questions.If A=[[2,-3],[3,-2],[-1,4]],B=[[-3,4,1],[2,-1,-3]] verify (A+2B^T)^T=A^T+2B

Answer the following questions.If A=[[2,-3],[3,-2],[-1,4]],B=[[-3,4,1],[2,-1,-3]] verify (3A-5B^T)^T=3A^T-5B

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