Solving Linear Tensor Equations II: Including Parity Odd Terms in Four Dimensions

In this paper, focusing on 4-dimensional space, we extend our previous results of solving linear tensor equations. particular, consider a 30-parameter equation for the unknown component Nαμν in terms known (source) Bαμν. The extension also included parity even (and associated traces), which are formed by contracting latter with Levi-Civita pseudotensor. Assuming generic non-degeneracy conditions and following step-by-step procedure, show how to explicitly solve field and, consequently, derive its unique exact solution