Answer
$T(x)= (-3x,-2x,0,x)$
Work Step by Step
We are given:
$A=\begin{bmatrix}
-3\\
-2 \\
0 \\
1
\end{bmatrix}$
Since $T=Ax$, the linear transformation is:
$T(x_1,x_2,x_3)=\begin{bmatrix}
-3\\
-2 \\
0 \\
1
\end{bmatrix}\begin{bmatrix}
x
\end{bmatrix}\\
\rightarrow T(x)= (-3x,-2x,0,x)$
