I need to do something like this
$$ \begin{bmatrix} A \\ B \\ C \\ \end{bmatrix} \begin{bmatrix} x_1 & x_2 & \cdots & x_n \\ y_1 & y_2 & \cdots & y_n \\ z_1 & z_2 & \cdots & z_n \\ \end{bmatrix} = \begin{bmatrix} A x_1 & A x_2 & \cdots & A x_n \\ B y_1 & B y_2 & \cdots & B y_n \\ C z_1 & C z_2 & \cdots & C z_n \\ \end{bmatrix} $$
You get the idea.
I want to know if this operation already has a name, in order to see if my linear algebra library already supports it.