Properties examination of complete matrix and its cofactors for symbolic calculations

This thesis is focused on the characteristics of a complete matrix, its application in physical analogies and exploration of suitable methods of computer generation of its cofactors. The opening section covers the key elements of matrix algebra, emphasising cofactors, and their attributes. The next segment examines the generalization of circuit theory for the purposes of multidisciplinary modeling and detailed analysis of a complete matrix and its properties. Finally, the previous findings and the characteristics of a complete matrix and its cofactors are applied to the deduction of elementary transfers, explained on examples and symbolically utilised in computer generation