If `A=[-1 2 0-1 1 1 0 1 0]` , show that `A^2=A^(-1)` .

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

If A=[[3, 1],[-1, 2]] , show that A^2-5A+7I=0

If A=((-1, 2, 0), (-1, 1, 1), (0, 1, 0)) , find A^(-1) . Use it to solve the system of equations: -x+2y=2, -x+y +z=1, y+2=0 .

If A=[(1,1),(0,1)] , show that A^2=[(1, 2),( 0, 1)] and A^3=[(1 ,3 ),(0 ,1)] .

If A=[[1, 0],[ 0, 1]] , B=[[1,0],[0,-1]] and C=[[0, 1],[ 1, 0]] , then show that A^2=B^2=C^2=I_2 .

If A=[[1 ,0 ,1],[0 ,1, 2],[ 0, 0, 4]] , then show that |3A| = 27|A|

If A=[[1 ,0 ,1],[0 ,1, 2],[ 0, 0, 4]] , then show that |3A|" "=" "27|A|

Find A^(-1) if A=|(0,1,1),(1,0,1),(1,1,0)| and show that A^(-1)=(A^(2)-3I)/2

Find A^(-1) if A=|(0,1,1),(1,0,1),(1,1,0)| and show that A^(-1)=(A^(2)-3I)/2

Find A^(-1) if A=|(0,1,1),(1,0,1),(1,1,0)| and show that A^(-1)=(A^(2)-3I)/2