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`

Answer the following questions.If A=[[1,2,3],[2,4,6],[1,2,3]] and B=[[1,-1,1],[-3,2,-1],[-2,1,0]] ,show that AB and BA are both singular matrices.

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

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

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=[[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=[[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=[[3,-5],[-4,2]] ,show that A^2-5A-14I=0

Answer the following questions.Evaluate |(1,-3,12),(0,2,-4),(9,7,2)|

Answer the following questions.Find x,yif [0,-1,4]{2[[4,5],[3,6],[2,-1]]+3[[4,3],[1,4],[0,-1]]}=[x,y]