Determine the invariant lines for the transformation defined by T(x,y)=(2x+y,x+2y)T(x, y) = (2x + y, x + 2y)T(x,y)=(2x+y,x+2y).
y=xy = xy=x and y=−xy = -xy=−x
y=2xy = 2xy=2x and y=−2xy = -2xy=−2x
x=0x = 0x=0 and y=0y = 0y=0
Only y=xy = xy=x