@MISC{MATRIX15.MIZ,
  AUTHOR = {P\c{a}k, Karol},
  TITLE = {Solutions of Linear Equations},
  SECTION1 = {Preliminaries},
  SECTION2 = {Selected properties of the operator ^^},
  SECTION3 = {Basic properties of two transformations which
               transform finite sequences to matrices},
  SECTION4 = {Basis properties of the Solution of Linear Equations},
  SECTION5 = {Gaussian eliminations},
  SECTION6 = {The main theorem},
  SECTION7 = {Space of Solutions of Linear Equations},
  DAY = {18},
  MONTH = {December},
  YEAR = {2007},
  ADDRESS1 = {University of Bialystok, ul. Akademicka 2, 15-267 Bialystok},
  SUMMARY = {In this paper we 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.}}