Find x and y i the matrix `A= 1/3 [[1,2,2],[2,1,-2],[x,2,y]]` satisfythe condition `A A\'=A\'A=I_3`

Find x and y if the matrix A=(1)/(3)[[1,2,22,1,-2x,2,y]] satisfy the condition AA'=A'A=I_(3)]]

consider a matrix A=1/3[[x,2,2],[2,1,-2],[-2,y,-1]] if A A^T=I_3 then

Find x and y if: (i) (x + 1,y-2) = (3,1) (ii) (x + 2,4)= (5,2x+y)

Find the value of x,y, and z if : (i) [[3,x4,y]]=2.[[-1.5,1z,1]]

If matrix A=[[2,1,-3],[3,2,1],[1,2,-1]] . Find A^(-1) and hence solve the system of equation 2x+y–3z=13, 3x+2y+z=4, x+2y-z=8

If matrix A=[[2,3,1],[1,2,2],[-3,1,-1]] Find A^(-1) and hence solve the system of equation 2x+y-3z=13,3x+2y+z=4,x+2y-z=8

If matrix A=|[2,3,1],[1,2,2],[-3,1,-1]| Find A^(-1) and hence solve the system of equation 2x+y-3z=13,3x+2y+z=4,x+2y-z=8

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.