This lemma follows from Jacobi’s theorem on the conjugate minors of the adjugate matrix (see, e.g., [G59, Chap. I, Section 4]).
Asymptotics of Toeplitz determinants generated by functions with Fourier coefficients in weighted Orlicz sequence classes
Trace” stands for the trace of a matrix and Adj(X) denotes the adjugate matrix for X.
Random copolymer adsorption: Morita approximation compared to exact numerical simulations
Adjugate polynomial of a linearized polynomial is then introduced, and connections between them are discussed.
Linearized polynomials over finite fields revisited
Furthermore, we ﬁnd that the adjugate matrix of a Dickson matrix is also a Dickson matrix, thus we can deﬁne an adjugate polynomial for every linearized polynomial.
Linearized polynomials over finite fields revisited
The proof of Theorem 4.5 also implies that the adjugate matrix of a non-singular Dickson matrix is also of the Dickson type.
Linearized polynomials over finite fields revisited
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