• P. M. Cohn
Part of the Library of Mathematics book series (LIMA)


There is still another way of regarding an 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
$$\begin{array}{*{20}c} {a_{11} x_1 + } & \ldots & { + a_{1n} x_n = y1} \\ {.\;.} & \ldots & {.\;.} \\ {a_{m1} x_1 } & \ldots & {a_{mn} x_n = y_m ,} \\ \end{array} $$
where we have replaced the constants k i on the right by variablesy i If we take x=(x1,…x n )′ and y = (y1,…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.


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© P. M. Cohn 1958

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