# KRON matrix function

## Description

KRON(**A**,**B**) Returns the Kronecker tensor product of matrices **A** and **B**.

If **A** is an *m* × *n* matrix and **B** is a *p* × *q* matrix, then the Kronecker tensor product of **A** and **B** is a *mp* × *nq* matrix formed by multiplying each element of **A** with matrix **B**.

$$ \mathbf{A}\otimes\mathbf{B} = \begin{bmatrix} a_{11} \mathbf{B} & \cdots & a_{1n}\mathbf{B} \\ \vdots & \ddots & \vdots \\ a_{m1} \mathbf{B} & \cdots & a_{mn} \mathbf{B} \end{bmatrix} $$

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## See also

## External links

## Recommended book

## Matrix Algebra Useful for Statistics

Shayle R. Searle, Andre I. Khuri

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This book addresses matrix algebra that is useful in the statistical analysis of data as well as within statistics as a whole. The material is presented in an explanatory style rather than a formal theorem-proof format and is self-contained.