Coefficient matrix

From Wikipedia, the free encyclopedia
Jump to: navigation, search

In linear algebra, the coefficient matrix refers to a matrix consisting of the coefficients of the variables in a set of linear equations. The matrix is used in solving systems of linear equations.

Coefficient matrix[edit]

In general, a system with m linear equations and n unknowns can be written as

where are the unknowns and the numbers are the coefficients of the system. The coefficient matrix is the mxn matrix with the coefficient as the (i,j)-th entry:[1]


  1. ^ Liebler, Robert A. (December 2002). Basic Matrix Algebra with Algorithms and Applications. CRC Press. pp. 7–8. Retrieved 13 May 2016.