In linear algebra

Linear algebra

Linear algebra is a branch of mathematics that studies vector spaces, also called linear spaces, along with linear functions that input one vector and output another. Such functions are called linear maps and can be represented by matrices if a basis is given. Thus matrix theory is often...

, 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

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:

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