Rouché–Capelli theorem
= Rouché–Capelli theorem
{wiki=Rouché–Capelli_theorem}
The Rouché–Capelli theorem, also known as the Rouché–Capelli criterion or the Rouché–Capelli theorem of linear algebra, provides conditions for the solvability of a system of linear equations. This theorem is particularly useful when dealing with systems where the number of equations and the number of variables may differ.