<abstract xml:lang="en" xmlns="http://www.w3.org/1999/xhtml"><p>The paper is concerned with a generalization of concepts introduced in [13], i.e. introduced are matrices of linear transformations over a finitedimensional vector space. Introduced are linear transformations over a finitedimensional vector space depending on a given matrix of the transformation. Finally, I prove that the rank of linear transformations over a finite-dimensional vector space is the same as the rank of the matrix of that transformation.</p></abstract>

The paper is concerned with a generalization of concepts introduced in [13], i.e. introduced are matrices of linear transformations over a finitedimensional vector space. Introduced are linear transformations over a finitedimensional vector space depending on a given matrix of the transformation. Finally, I prove that the rank of linear transformations over a finite-dimensional vector space is the same as the rank of the matrix of that transformation.

Linear Map of Matrices

Institute of Computer Science, University of Białystok, Poland

Formalized Mathematics

{"article-title":"Linear Map of Matrices"}

The paper is concerned with a generalization of concepts introduced in [13], i.e. introduced are matrices of linear transformations over a finitedimensional...

Linear Map of Matrices

Online veröffentlicht: 20. März 2009

Seitenbereich: 269 - 275

DOI: https://doi.org/10.2478/v10037-008-0032-0

This content is open access.