Linear Equations pp 27-37 | Cite as

# Matrices

Chapter

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## Abstract

There is still another way of regarding an
where we have replaced the constants

*m*×*n*system of equations, which will lead to an even shorter way of writing it than in ch. II. Let us first write the system as$$\begin{array}{*{20}c}
{a_{11} x_1 + } & \ldots & { + a_{1n} x_n = y1} \\
{.\;.} & \ldots & {.\;.} \\
{a_{m1} x_1 } & \ldots & {a_{mn} x_n = y_m ,} \\
\end{array} $$

(I)

*k*_{ i }on the right by variables*y*_{ i }If we take**x**=(*x*_{1},…*x*_{ n })′ and**y**= (*y*_{1},…*y*_{ m })′ to be column-vectors, we may regard the set of coefficients (*a*_{ ij }) in as an operator which acts on**x**to produce**y**.## Keywords

A22b21 A21b12 Rectangular Matrice Scalar Zero Matrix Multi Heavy Type
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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## Copyright information

© P. M. Cohn 1958