Constructing and solving of the dimensional matrix

3 Constructing and Solving of the Dimensional Matrix In transforming the five physical quantities in the relevance list proposed in (1.59), a so aUed dimensional matrix has first to be constructed. To minimize the calculation effort, the following advice should be followed  

We now proceed with solving our example The dimensional matrix reads  

Only one linear transformation is necessary to transform —3 in L-row/p-column into zero. The subsequent multiplication of the T-row by —1 transfers —1 to 1  

The residual matrix contains only two parameters, therefore only two n numbers result  

The interdependence of 5 dimensional quantities of the relevance list (1.59), reduces to a set of only 5 — 3 = 2 dimensionless numbers  

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