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Cofactor may also refer to: Cofactor (biochemistry), a substance that needs to be present in addition to an enzyme for a certain reaction to be catalysed; A domain parameter in elliptic curve cryptography, defined as the ratio between the order of a group and that of the subgroup; Cofactor (linear algebra), the signed minor of a matrix
In linear algebra, a minor of a matrix A is the determinant of some smaller square matrix generated from A by removing one or more of its rows and columns. Minors obtained by removing just one row and one column from square matrices (first minors) are required for calculating matrix cofactors, which are useful for computing both the determinant and inverse of square matrices.
In linear algebra, the adjugate or classical adjoint of a square matrix A, adj(A), is the transpose of its cofactor matrix. [1] [2] It is occasionally known as adjunct matrix, [3] [4] or "adjoint", [5] though that normally refers to a different concept, the adjoint operator which for a matrix is the conjugate transpose.
Transpose of the cofactor matrix: The inverse of a matrix is its adjugate matrix divided by its determinant: Augmented matrix: Matrix whose rows are concatenations of the rows of two smaller matrices: Used for performing the same row operations on two matrices Bézout matrix: Square matrix whose determinant is the resultant of two polynomials
In linear algebra, the Laplace expansion, named after Pierre-Simon Laplace, also called cofactor expansion, is an expression of the determinant of an n × n-matrix B as a weighted sum of minors, which are the determinants of some (n − 1) × (n − 1)-submatrices of B.
The succinate dehydrogenase complex showing several cofactors, including flavin, iron–sulfur centers, and heme.. A cofactor is a non-protein chemical compound or metallic ion that is required for an enzyme's role as a catalyst (a catalyst is a substance that increases the rate of a chemical reaction).
Shqip; Simple English ... is the transpose of the matrix of the cofactors, that ... the determinant can be computed for almost free from the result of a Gaussian ...
In cofactor engineering, a metabolic pathway is altered by changing the concentrations of specific cofactors that are produced either in that particular pathway or in a separate pathway. For example, an hypothetical organism could have two arbitrary pathways called A and B where some enzymes in both A and B utilize the same cofactors.