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.
@article{bwmeta1.element.doi-10_2478_v10037-008-0032-0,
author = {Karol P\k ak},
title = {Linear Map of Matrices},
journal = {Formalized Mathematics},
volume = {16},
year = {2008},
pages = {269-275},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_v10037-008-0032-0}
}
Karol Pąk. Linear Map of Matrices. Formalized Mathematics, Tome 16 (2008) pp. 269-275. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_v10037-008-0032-0/
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