THE TRIANGULAR FORM OF LEONTIEF’S MATRIX

Alberto Benítez Sánchez

Alberto Benítez Sánchez Universidad Autónoma Metropolitana - Iztapalapa

Abstract

This paper presents an alternative proof of the equivalence between the existence of viable solutions to Leontief’s model and the Hawkins and Simon’s condition (H-S). In addition, it exposes the peculiar
economic significance of the coefficients in the principal diagonal of the triangular form of Leontief’s matrix, which permits us – among other things – to appreciate the tight relation between the economic and the
mathematical conditions in the solution to the model. Moreover, the paper identifies some other mathematical propositions equivalent to (H-S) possessing economic interest.

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