Difference between revisions of "Manuals/calci/KRONECKERPRODUCT"

Revision as of 14:59, 28 November 2016

MATRIXTENSORPRODUCT (a,b)

This function gives the result of Kronecker product.
Kronecker product is also called Tens or product.
It is denoted by $\otimes$ .
This product is comparatively different from usual Matix multiplication.
Given an m×n matrix A and a p×q matrix B, their Kronecker product C=A tensor B, also called their matrix direct product, is an (mp)×(nq) matrix .
So $A\otimes B={\begin{bmatrix}a_{11}B&\cdots &a_{1n}B\\\vdots &\ddots &\vdots \\a_{m1}B&\cdots &a_{mn}B\end{bmatrix}}$

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-==prod
+<div style="font-size:30px">'''MATRIXTENSORPRODUCT (a,b)'''</div><br/>
+*<math>a and b </math> are any matrix test array.
+==Description==
+*This function gives the result of Kronecker product.
+*Kronecker product is also called Tens or product.
+*It is denoted by <math>\otimes</math>.
+*This product is comparatively different from usual Matix multiplication.
+*Given an m×n matrix A and a p×q matrix B, their Kronecker product C=A tensor B, also called their matrix direct product, is an (mp)×(nq) matrix .
+*So <math>A\otimes B=
+\begin{bmatrix}
+a_{11}B      & \cdots & a_{1n}B      \\
+\vdots & \ddots & \vdots \\
+a_{m1}B      & \cdots & a_{mn}B
+\end{bmatrix}</math>