Abstract
This paper presents an alternative viewpoint to that of Sharp and Moore [1] on the application of matrix methods to dimensional analysis. Using examples from these and other authors the power, succinctity and physical compliance of the echelon matrix method is demonstrated. It is shown that certain aspects of the Sharp and Moore approach are misleading. This leads on to examination of the supposed base position for the Rayleigh procedure and of its essential irrelevance to the actual algebra of that procedure. Here again it is shown how the echelon matrix concept can be adopted in the preliminary setting up of the situation so that singularity, if present, can be encompassed without the need for any unsatisfactory process of arbitrary discardment of the redundant dimensional information. The fundamental basis for the dimensional analysis procedure is treated in a simple manner by a development of the proposition of Riabouchinski. Some aspects of the historical background are outlined. Experience gained ov...
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