If `A=[[1,1,1],[1,2,1],[1,1,2]]` ,then prove that `A^(-1)=[[3,-1,-1],[-1,1,0],[-1,0,1]]`

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

If A=[[1,-1,2],[3,0,-2],[1,0,3]] then prove that A*(adjA)=|A|I Also,find A^(-1)

If A=([1,2,1],[0,1,-1],[3,-1,1]) then A^(3)-3A^(2)-A-9=

If A=[(0,1),(1,0)] and B=[(1,0),(0,-1)], prove that :

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

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

If A^(-1)=[[1,-1, 2],[0, 3,1],[ 0 ,0,-1/3]] , then |A|=-1 b. adj A=[[-1, 1 ,2],[ 0,-3,-1],[ 0, 0, 1/3]] c. A=[[1, 1/3, 7 ],[0, 1/3, 1],[0 ,0,-3]] d. A =[[1,-1/3,-7],[ 0,-3, 0],[ 0, 0, 1]]

Show that [[1,1],[0,1]]^2 = [[1,3],[0,1]]

It A=[(-1,2,0),(-1,1,1),(0,1,0)] show that A^(2)=A^(-1)