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

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],[3,-2]] ,find A^3

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=[[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,-1],[-1,2]] show that A^ 2-4A+3I=0

Answer the following questions. If A=[[3,-5],[-4,2]] ,show that A^2-5A-14I=0

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=[[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

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.