Four-dimensional Vector Matrix Determinant and Inverse

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A J Sang 1,* H J Bao 1 H X Chen 1 G Q Zhao 1

1. School of Communication Engineering, Jilin University, Changchun 130022, China

* Corresponding author.


Received: 16 Mar. 2012 / Revised: 20 Apr. 2012 / Accepted: 24 May 2012 / Published: 29 Jun. 2012

Index Terms

Multidimensional vector matrix, four-dimensional vector matrix determinant, four-dimensional vector matrix inverse


The theory of two-dimensional matrix has been popularized in multi-dimensional matrix. However applications of multi-dimensional matrix also bring space redundancy and time redundancy, we put forward a multi-dimensional vector matrix model. This is new series of study to define multidimensional vector matrix mathematics, including four-dimensional vector matrix determinant, four-dimensional vector matrix inverse and related properties. There is innovative concept of multi-dimensional vector matrix mathematics created by author with numerous applications in engineering, math, video conferencing, 3D TV, and other fields.

Cite This Paper

A J Sang,H J Bao,H X Chen,G Q Zhao,"Four-dimensional Vector Matrix Determinant and Inverse", IJEM, vol.2, no.3, pp.30-37, 2012. DOI: 10.5815/ijem.2012.03.05 


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