If `A=[[1,2,2],[2,1,2],[2,2,1]]`show that `A^2-4A`is a scalar matrix.

If A=[[1,3,3],[3,1,3],[3,3,1]] prove that A^2-5A is a scalar matrix.

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

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, 2], [2, 1, 2], [2, 2, 1]] and A^(-1) exist and not equal to 0, then (A^(2)-4A)A^(-1)=

If A = [[2,4],[1,1]] thus show that: A^2-3A-2I = 0 .

If A=[[4,3,2],[-1,2,0]],B=[[1,2],[-1,0],[1,-2]] show that matrix AB is non singular.

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

If A = [[3,1],[-1,2]] then show that: A^2-5A+7I = 0 .

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.