Let f: R²→R be defined by f((x, y)) = 2x + 8y + 6. Is f a linear transformation?
f((X1,Y1) + (X2,Y2)) =___(Enter x1 as x1, etc.)
f((x1, y1))+f((X2,Y2))__+__(Enter expressions involving 21, Y1 in the first box, and expressions involving the other variables in the second box.)
Does f((X1,Y1) + (X2,Y2)) = f((X1,Y1)) + f ((X2,Y2)) for all (X1,Y1), (X2,Y2) ∈ R²?