Solutions of Linear Equations

Karol Pąk

Formalized Mathematics (2008)

  • Volume: 16, Issue: 1, page 81-90
  • ISSN: 1426-2630

Abstract

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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

How to cite

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Karol Pąk. "Solutions of Linear Equations." Formalized Mathematics 16.1 (2008): 81-90. <http://eudml.org/doc/267191>.

@article{KarolPąk2008,
abstract = {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},
author = {Karol Pąk},
journal = {Formalized Mathematics},
language = {eng},
number = {1},
pages = {81-90},
title = {Solutions of Linear Equations},
url = {http://eudml.org/doc/267191},
volume = {16},
year = {2008},
}

TY - JOUR
AU - Karol Pąk
TI - Solutions of Linear Equations
JO - Formalized Mathematics
PY - 2008
VL - 16
IS - 1
SP - 81
EP - 90
AB - 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
LA - eng
UR - http://eudml.org/doc/267191
ER -

References

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