adjugate


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adjugate

[′aj·ə‚gāt]
(mathematics)
For a matrix A, the matrix obtained by replacing each element of A with the cofactor of the transposed element. Also known as adjoint of a matrix.
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where ([P.sub.i,j](x)) is the adjugate matrix of M(x).
Lemma 20 Let ([P.sub.i,j](x)) be the adjugate matrix of M(x), and let [rho] be the greater of the real numbers [[rho].sub.1], [[rho].sub.2].
where [alpha] is a real number and adj(A) is the adjugate matrix of A.
It has been noted that every quasigroup (L, x) belongs to a set of 6 quasigroups, called adjugates by Fisher and Yates [6], conjugates by Stein [15], [14] and Belousov [2] and parastrophes by Sade [12].