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

If A=[[1,-3],[4,2]],B=[[4,1],[3,-2]] show that AB!=BA

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=[[8,4],[10,5]],B=[[5,-4],[10,-8]] show that (A+B)^2=A^2+AB+B^2

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,-1,3],[4,0,5]] and B=[[-3,-2,-1],[-5,5,1]] .Verify that (A-B)'=A'-B'

Answer the following questions.If A=[[-3,2],[2,-4]],B=[[1,x],[y,0]] and (A+B).(A-B)=A^2-B^2 ,find x and y.

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

Answer the following questions.If A=[[1,2],[3,2],[-1,0]] and B=[[,1,3,2],[4,-1,-3]] ,show that AB is singular matrix.

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