Coefficient matrix

In linear algebra, a coefficient matrix is 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. In linear algebra, a coefficient matrix is 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. In general, a system with m linear equations and n unknowns can be written as where x 1 ,   x 2 , . . . , x n {displaystyle x_{1}, x_{2},...,x_{n}} are the unknowns and the numbers a 11 ,   a 12 , . . . ,   a m n {displaystyle a_{11}, a_{12},..., a_{mn}} are the coefficients of the system. The coefficient matrix is the mxn matrix with the coefficient a i j {displaystyle a_{ij}} as the (i,j)-th entry: