Cramer’s rule

Let Ax=b be the matrix form of a system of n linear equations in n unknowns, with x and b as n×1 column vectorsMathworldPlanetmath and A an n×n matrix. If det(A)0, then this system has a unique solution, and for each i (1in) ,


where Mi is A with column i replaced by b.

Title Cramer’s rule
Canonical name CramersRule
Date of creation 2013-03-22 11:55:27
Last modified on 2013-03-22 11:55:27
Owner akrowne (2)
Last modified by akrowne (2)
Numerical id 10
Author akrowne (2)
Entry type Theorem
Classification msc 15A15