Matrices/Kronecker product/Definition

Kronecker product

The Kronecker product of matrices

$A={\left(a_{ij}\right)}_{1\le i\le m,1\le j\le n}$

and

$B={\left(b_{k\ell }\right)}_{1\le k\le p,1\le \ell \le r}$

is given by

${(a_{ij}\cdot b_{k\ell })}_{1\le i\le m,1\le k\le p;1\le j\le n,1\le \ell \le r}.$