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Coefficient matrix
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Coefficient matrix : ウィキペディア英語版
Coefficient matrix

In linear algebra, the coefficient matrix refers to a matrix consisting of the coefficients of the variables in a set of linear equations.
==Example==
In general, a system with ''m'' linear equations and ''n'' unknowns can be written as
: a_x_1 + a_x_2 + \cdots + a_x_n = b_1 \,
: a_x_1 + a_x_2 + \cdots + a_x_n = b_2 \,
: \vdots \,
: a_x_1 + a_x_2 + \cdots + a_x_n = b_m \,
where x_1,\ x_2,...,x_n are the unknowns and the numbers a_,\ a_,...,\ a_ are the coefficients of the system. The coefficient matrix is the ''mxn'' matrix with the coefficient a_ as the (''i'',''j'')-th entry:
:
\begin
a_ & a_ & \cdots & a_ \\
a_ & a_ &\cdots & a_ \\
\vdots & \vdots & \ddots & \vdots \\
a_ & a_ & \cdots & a_ \end


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