Kronecker Product

#Math

$$

\mathbf{A}\otimes \mathbf{B}=\begin{bmatrix}
a_{11}\mathbf{B} & \ldots & a_{1n}\mathbf{B} \\\vdots & \ddots & \vdots \\a_{m 1}\mathbf{B} & \ldots & a_{mn}\mathbf{B}
\end{bmatrix}
$$

• $\displaystyle \mathbf{A}$ is an $\displaystyle m\times n$ matrix
• $\displaystyle \mathbf{B}$ is a $\displaystyle p\times q$ matrix
• The entire matrix is overall $\displaystyle pm \times qn$