Which geometric transformation is the following system?
$$$ \begin{pmatrix} x' \\ y' \end{pmatrix} = \begin{pmatrix} 1 & 0 \\ 0 & 1 \end{pmatrix} \cdot \begin{pmatrix} x \\ y \end{pmatrix}+ \begin{pmatrix} 3 \\ 2 \end{pmatrix}$$$
See development and solution
Development:
For the given classification scheme, we have that $$\det (A) = 1$$ and that $$\vec{b}\neq0$$.
Solution:
It is a translation.