The Equivalence Relationship of Matrix and the Corresponding Equivalence Classes

Abstract:

In order to further integrate the content of Linear Algebra, and deeply reveal the equivalence relationship of matrix, this paper discusses the three equivalence relationships on the set of matrices: matrix equivalence、matrix similarity and matrix contract, and gives the corresponding equivalence classes, which further enriches the theory of Linear Algebra.

• Periodical: Applied Mechanics and Materials (Volumes 651-653)
• Pages: 2211-2215
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.651-653.2211
• Online since: September 2014
• Authors: Dong Li Liu*
• Keywords: Equivalence Class, Matrix Contract, Matrix Equivalence, Similarity Matrix

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