What is this matrix operator?

Question

What is the operator that can combine two 2x2 matrices into one 4x4 matrix as shown below?

A = $\begin{bmatrix}a&b\\c&d\end{bmatrix}$

X = $\begin{bmatrix}x&y\\z&w\end{bmatrix}$

A ? X = $\begin{bmatrix}aX&bX\\cX&dX\end{bmatrix} = \begin{bmatrix}ax&ay&bx&by\\az&aw&bz&bw\\cx&cy&dx&dy\\cz&cw&dz&dw\end{bmatrix}$

This is called Kronecor Product or Direct product of two matrices. Seehttps://en.wikipedia.org/wiki/Kronecker_product — Z Ahmed, Oct 09 '19 at 12:37

score 2 · Accepted Answer · answered Oct 09 '19 at 12:36

2

This is called the Kronecker product. It's one manifestation of the tensor product from abstract algebra, and it's usually denoted by $\otimes$.

answered Oct 09 '19 at 12:36

Arthur

1 Answers1