`A=[[2,1,1],[3,2,1],[2,1,2]]` Find `A^(-1)`

If A=[[0,1,3],[1,2,x],[2,3,1]] and A^(-1)=[[(1)/(2),-4,(5)/(2)],[-(1)/(2),3,-(3)/(2)],[(1)/(2),y,(1)/(2)]] . Find x,y

If A=[[0 ,1 ,3],[ 1, 2,x],[2, 3, 1]] and A^(-1)=[[1//2,-4 ,5//2],[-1//2, 3,-3//2],[ 1//2,y,1//2]] ,find x ,\ y .

Find the inverse of A=[[2,1,1],[3,2,1],[2,1,2]] by Gauss - Jordan method.

If A=[[0, 1,2],[1,2,3],[3,a,1]]and A^(-1)[[1//2,-1//2,1//2],[-4,3,b],[5//2,-3//2,1//2]] then find a and b

If A = [[2,0,1],[2,-1,3],[1,1,0]] then find A^2-3A+2I .

Find the rank of the matrix A = [[1,2,-1,3],[3,-1,2,1],[2,-2,3,2],[1,-1,1,-1]]

Find the matrices A and B if 2A+3B=[[1,2,-1],[0,2,1],[1,2,4]] and A+2B=[[2,0,1],[1,1,2],[3,1,2]]

If A=[[1,2,3],[-1,0,2],[1,-3,1]], B=[[4,5,6],[-1,0,1],[2,1,2]], C=[[-1,-2,1],[-1,2,3],[-1,-2,2]] find A-2B+3C

If A=[[1,2,3],[-1,0,2],[1,-3,1]], B=[[4,5,6],[-1,0,1],[2,1,2]], C=[[-1,-2,1],[-1,2,3],[-1,-2,2]] find A-2B+3C. Also verify that (A+B)+C=A+(B+C).

If A=[[2,3,2] , [1,2,2] , [-3,1,-1]] then find A^-1 using elementary transformations