If A = `[ [ 0 , 1 , -1 ] , [ 3 , -2 , 3 ] , [ 2 , -2 , 3 ] ]` then show `A^2 = 1`

If A=[[1, -1, 2], [0, 2, -3], [3, -2, 4]] , then |A^(-1)|=

If A=[[1, -1, 2], [3, 0, -2], [1, 0, 3]] , then (adjA)A=

If A=[[1,2,1] , [1,-4,1] , [3,0,-3]], B=[[2,1,1] , [1,-1,0] , [2,1,-1]] then show that AB=6I_3

A=[[3, 2, 6], [1, 1, 2], [2, 2, 5]], B=[[1, 2, -2], [-1, 3, 0], [0, -2, 1]] , then

" 1.If "P=[[2,-2,-4],[-1,3,4],[1,-2,-3]]" then show that,"P^(2)=P" ."

If A=[[1,2,3] , [-1,0,2] , [-2,-3,1]], B=[[4,5,1] , [-1,0,3] , [2,1,2]], C=[[-1,-2,1] , [-1,2,3] , [-1,-2,2]] then A-2B+3C=

If A=[1 1-1 2 0 3 3-1 2] , B=[1 0-1""""""3 2 4] and C=[1 2 3-4 2 0-2 1] , find A(BC), (AB)C and show that (A B)C" "=" "A(B C) .

If A=[[2,1,3],[3,-2,1]] and B=[[1,-1],[0,2],[2,1]] , show that (AB)^'=B^'A^' where A^' is the transpose of A etc.

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

Show that(i) [[5,-1],[ 6 ,7]][[2, 1],[ 3 ,4]]!=[[2, 1],[ 3, 4]][[5,-1],[ 6, 7]] (ii) [[1, 2, 3],[ 0, 1, 0],[ 1, 1, 0]][[-1, 1, 0],[ 0,-1, 1],[ 2, 3, 4]]!=[[-1, 1, 0],[ 0,-1, 1],[ 2, 3, 4]][[1 ,2 ,3],[ 0, 1, 0],[ 1, 1, 0]]