Abstract
We utilize the electromagnetically-oriented LTIO dimensional basis in the matrix solution of dimensional-analysis (DA) problems involving mainly electromagnetic quantities, whether these quantities are lumped or distributed. Representations in the LTIO basis (compared with the standard MLTI basis) are more informative and much simpler. Moreover, matrix DA computations employing the LTIO basis are more efficient and much less error prone. Extensive discussions of two demonstrative examples expose technical details of a novel DA scheme, and clarify many important facets of modern dimensional analysis