$T=\left[\begin{array}{ccc}0& 1& 2\\ 3& 2& 1\\ 1& 1& 1\end{array}\right]$

Each column represents a transformation in the $x,y,$ and $z$ dimensions respectively.

The position vectors of vertices of an object are:

$V=\left[\begin{array}{ccc}1& 0& 1\\ 1& 2& 1\\ 1& 1& 0\end{array}\right]$

Each column represents a vertex.

Task:

Calculate the new positions of the vertices after the transformation is applied. This involves multiplying the transformation matrix $T$ by the vertices matrix $V.$