If A=`[[-2,4],[-1,1]]`then `A^2` is

If A=[(1,2),(4,1)] , then A^-1= (A) [(-1,-2),(4,1)] (B) -1/7 [(1,2),(-4,-1)] (C) 1/7[(-1,-2),(4,1)] (D) 1/9[(1,2),(4,1)]

If A=[[4, 2],[-1, 1]] , prove that (A-2I)(A-3I)=O .

If A=[[2,3,4],[1,2,3],[-1,1,2]], B=[[1,3,0],[-1,2,1],[0,0,2]] , find AB and BA and show that AB!=BA

If A=[[2,-2,-4],[-1,3,4],[1,-2,-3]] then A is 1) an idempotent matrix 2) nilpotent matrix 3) involutary 4) orthogonal matrix

If A=[[2,-2,-4],[-1,3,4],[1,-2,-3]] then A is 1) an idempotent matrix 2) nilpotent matrix 3) involutary 4) orthogonal matrix

If A= [[2,4,-1],[-1,0,2]], B=[[3,4],[-1,2],[2,1]] , Show that (AB)'=B'A' .

If A=[[2 , 4 ,-1] , [-1 , 0 , 2]] , B=[[3 , 4], [-1 ,2] , [ 2 ,1]] , find (A B)^T .

Express the matrix A=[[3,-2,-4], [3,-2,-5],[-1, 1, 2]] as the sum of a symmetric and skew-symmetric matrix and verify your result.

If A=[{:(1,2),(4,1):}] , then find A^(2)+2A+7I .