Translation of a point in space with position vector ${\vec r}$ by a fixed vector ${\vec a}$ leads to a new vector $$\vec{r}^\prime={\vec r}+{\vec a}$$ which, is not strictly a linear transformation because it does not send zero vector to zero vector. Do mathematicians have a name for such transformations?
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2It's an affine transformation. – José Carlos Santos Jun 24 '23 at 13:19