Suppose T:R3→R2 T : \mathbb R^3 \to \mathbb R^2 and T(x)=Ax…
Suppose T:R3→R2 T : \mathbb R^3 \to \mathbb R^2 and T(x)=Ax T(\mathbf x) = A \mathbf x where A=-12011-1 A = \begin{bmatrix} -1 & 2 & 0 \\1 & 1 &-1 \end{bmatrix} a. Is the vector 1-1 \begin{bmatrix}1\\-1\end{bmatrix} in the range of TT?b.Find all x∈R3 \mathbf x \in \mathbb R^3 such that T(x)=0T(\mathbf x) = \mathbf 0