📝 SummarXiv

Abstract

Druzkowski s reduction of the Jacobian Conjecture gives rise to a class of highly complicated linear equations with polynomial coefficients. We find an unrecorded algebraic identity and apply it as a variant of the Laplace determinant expansion formula to solve such equation in a way analogous to(and no less elegant than) Cramer rule. Three consecutive cases are addressed where the situation upgrades from one case to the next.