Data Processing in Square Zero Preservers on Spaces of 2x2 Trace Zero Matrices

Abstract:

Scientific data processing "usually involves a great deal of computation (arithmetic and comparison operations) upon a relatively small amount of input data, resulting in a small volume of output." In this view, matrices play very important role.Suppose F is a Field of Characteristic Not 2, and F* is its Subset of all Nonzero Elements. Let M2 be the Space of all 2*2 full matrices over F . A matrix A M2 is called square zero if A2=0 . Let be the Subset of Consisting of all Square Zero Matrices and be the Linear Space of all Trace Zero Matrices over . we Denote by the Set of all Maps from to itself Satisfying if and only if for Every and . it was Shown that if and only if there Exists an Invertible Matrix and such that for Every .

• Periodical: Applied Mechanics and Materials (Volume 707)
• Pages: 471-475
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.707.471
• Online since: December 2014
• Authors: Shuo Song*, Shao Bai Chen, Yang Zhang
• Keywords: Data Processing, Linear Space, Matrix, Square Zero Preservers

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