" If "A=[[1,1],[x,y],[x^(2),y^(2)]]" ,then find "AA'" ."

" 06.If "A=(1)/(3)[[1,2,2],[2,1,-2],[x,2,y]]" and "AA'=1" ,then find "x-2y

If [(x+y,2),(-1,2x-y)] = [(4,2),(-1,5)] , find x and y.

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)]]

If X+Y=[[2,-1],[1,3],[-3,2]] and X-2Y=[[-2,-1],[-3,-1],[4,-2]] find X and Y.

x>1,y>1 and (In x)^(2)+(In y)^(2)=In x^(2)+In y^(2), then find the maximum value of x ln y.

If A=[(1,2,2),(2,1,-2),(x,2,y)] is a matrix such that "AA"^(T) =9I , find the values of x and y.

The coordinates of the ends of a focal chord of the parabola y^(2)=4ax are (x_(1),y_(1)) and (x_(2),y_(2)). Then find the value of x_(1)x_(2)+y_(1)y_(2)