Answer the following questions.If`A=[[0,1],[1,0]],B=[[0,-1],[1,0]]`,show that `(A+B).(A-B)!=A^2-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

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.

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=[[2,1],[0,3]],B=[[1,2],[3,-2]] ,verify that |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.

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

Answer the following questions. If A=[[2,1,-3],[0,2,6]],B=[[1,0,-2],[3,-1,4]] ,find AB^T and A^TB

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

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=[[1,w],[w^2,1]],B=[[w^2,1],[1,w]] ,where w is a complex cube root of unity,then show that AB+BA+A-2B is a null matrix.