If `A=[[2,0,1],[2,1,3],[1,-1,0]]` Find `A^(2)-5A+6I`

If A=[(2, 0, 1 ),(2, 1, 3),( 1,-1, 0)] , find A^2-5A+4I and hence find a matrix X such that A^2-5A+4I+X=O .

Find A^2-5A+6I , if A=[[2, 0, 1],[ 2, 1, 3],[ 1,-1, 0]]

Let f(x)=x^2-5x+6 then find f(A) when A=[[2,0,1] , [2,1,3] , [1, -1, 0]]

If A=[[1,2,-3] , [5,0,2] , [1,-1,1]] and B=[[3,-1,2] , [4,2,5] , [2,0,3]] then find matrix C such that A+2C=B

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

If A=[[2,1,3],[4,1,0]] and B=[[1,-1],[0,2],[5,0]] find AB and BA.

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[{:(1,3,2),(2,0,3),(1,-1,1):}], then find A^(3)-2A^(2)+A-I_(3).

If A=[[0,0,1],[0,1,0],[1,0,0]],B=[[0,5,7],[0,0,6],[0,0,0]] and C=[[-1,3,5],[1,-3,-5],[-1,3,5]] , show that A^2=I

If A=[[3,1],[-1,2]], I=[[1,0],[0,1]] and O=[[0,0],[0,0]] , show that A^2-5A+7I=0 . Hence find A^(-1) .