PassageBased on the above data, answer the given subquestions. Consider the linear transformation T:R3→R2T:\mathbb{R}^3\to\mathbb{R}^2 defined by T(x,y,z)=(x−3y−(k+1)z, 2x+ky+10z)T(x,y,z)=(x-3y-(k+1)z,\ 2x+ky+10z) for all (x,y,z)∈R3(x,y,z)\in\mathbb{R}^3, where k∈Rk\in\mathbb{R}.