In this paper I present the Kronecker-Capelli theorem which states that a system of linear equations has a solution if and only if the rank of its coefficient matrix is equal to the rank of its augmented matrix.MML identifier: MATRIX15, version: 7.8.09 4.97.1001
@article{bwmeta1.element.doi-10_2478_v10037-008-0012-4,
author = {Karol P\k ak},
title = {Solutions of Linear Equations},
journal = {Formalized Mathematics},
volume = {16},
year = {2008},
pages = {81-90},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_v10037-008-0012-4}
}
Karol Pąk. Solutions of Linear Equations. Formalized Mathematics, Tome 16 (2008) pp. 81-90. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_v10037-008-0012-4/
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