QuestionLet T:R3→R3T:\mathbb{R}^3\to\mathbb{R}^3 be defined by T(x,y,z)=(x+y, y+z, z+x+ky)T(x,y,z)=(x+y,\ y+z,\ z+x+ky), where k∈Rk\in\mathbb{R}. Which statements are true?
