m×nkerroinmatriisi
The term m×nkerroinmatriisi refers to a coefficient matrix in linear algebra, typically written as an m by n array of numbers or symbols. It arises when a system of linear equations is expressed in matrix form, where the matrix contains the coefficients of the variables. For example, the system 3x+2y−z=5, 4x−y+2z=6, and −x+3y+z=7 can be represented by the coefficient matrix
The matrix has three rows, corresponding to the three equations, and three columns, one for each unknown
In solving linear systems, one often augments the coefficient matrix with a column of constants, producing
The m×nkerroinmatriisi is also used in matrix representations of linear transformations, where the columns correspond to