Let A=1-10212-111 A = \begin{bmatrix}1 & -1 & 0 \\2 & 1 &2 \…
Let A=1-10212-111 A = \begin{bmatrix}1 & -1 & 0 \\2 & 1 &2 \\ -1 &1&1 \end{bmatrix} and define T:R3→R3 T : \mathbb R^3 \to \mathbb R^3 by T(x)=Ax T(\mathbf x) = A \mathbf x a.Find the image of 111 \begin{bmatrix}1\\ 1 \\ 1\end{bmatrix} under TT.b.Find all x∈R3 \mathbf x \in \mathbb R^3 such that T(x)=-387 T(\mathbf x) = \begin{bmatrix}-3\\ 8 \\ 7 \end{bmatrix}
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