If `A=[[1,x,-2],[2,2,4],[0,0,2]]` and `A^2+2I_3=3A` find `x`: here `I_3` is the unit matrix of order 3.

If A = [[2,2],[4,3]] show that A A^(-1) = I_2 where I_2 is the unit matrix of order 2.

If A=[[1,-2],[5,3]],B=[[1,-3],[4,-7]] ,then find the matrix A-2B+6I , where I is the unit matrix of order 2.

If A = [(2,2),(4,3)] show that, A A^(-1) =I_(2) wher I_(2) is the unit matrix of order 2.

IF A = ([2,-1],[-1,2]) and A^2-4A+3I = 0 , where I is the unit matric or order 2, then find A^(-1) .

If A=[{:(,2,-1),(,-1, 3):}]" evaluate "A^2-3A+3I , where I is a unit matrix of order 2.

If A=[[3,1],[-1,2]] prove that A^2-5A+7I=O ,where I is unit matrix of order 2.

If A= ((2,3),(-1,2)) .Show that A^(2)-4A+7I=0 whwre I is the unit matrix of order 2.

If A=[(1, -2, 1),(0, 1 ,-1),(3, -1, 1)] then find A^(3)-3A^(2)-A-3I where I is unit matrix of order 3.

If A= [(3,4),(4,-3)] find x if det|A-xI| =0,where I is a unit matrix of order 2.