In mathematics, a matrix coefficient (or matrix element) is a function on a group of a special form, which depends on a linear representation of the group...

linear algebra, a coefficient matrix is a matrix consisting of the coefficients of the variables in a set of linear equations. The matrix is used in solving...

In statistics, the Pearson correlation coefficient (PCC) is a correlation coefficient that measures linear correlation between two sets of data. It is...

group. The theorem has three parts. The first part states that the matrix coefficients of irreducible representations of G are dense in the space C(G) of...

evaluate a confusion matrix is the Matthews correlation coefficient (MCC). Other metrics can be included in a confusion matrix, each of them having their...

In statistics, the coefficient of determination, denoted R2 or r2 and pronounced "R squared", is the proportion of the variation in the dependent variable...

describing the confusion matrix of true and false positives and negatives by a single number, the Matthews correlation coefficient is generally regarded...

§ Leading term, coefficient and monomial. In linear algebra, a system of linear equations is frequently represented by its coefficient matrix. For example...

n × n matrix M, the transpose of its cofactor matrix. This is a matrix whose coefficients are given by polynomial expressions in the coefficients of M...

of correlation used are product-moment coefficients, the correlation matrix is the same as the covariance matrix of the standardized random variables X...

linear operator (especially a modified Hamiltonian) in quantum theory Matrix coefficient, a type of function in representation theory Element (software), free...

eigenvalues as roots. It has the determinant and the trace of the matrix among its coefficients. The characteristic polynomial of an endomorphism of a finite-dimensional...

if the rank of the augmented matrix ( A | B ) {\displaystyle (A\vert B)} is greater than the rank of the coefficient matrix A {\displaystyle A} . If, on...

>2} ⁠. The best known lower bound for matrix-multiplication complexity is Ω(n2 log(n)), for bounded coefficient arithmetic circuits over the real or complex...

corresponding matrix of coefficients. This method can also be used to compute the rank of a matrix, the determinant of a square matrix, and the inverse...

a=V^{-1}y} . That is, the map from coefficients to values of polynomials is a bijective linear mapping with matrix V, and the interpolation problem has...

Since any graph is fully specified by its adjacency matrix A, the local clustering coefficient for a simple undirected graph can be expressed in terms...

non-zero entries are all coefficients of the polynomial. This disambiguation page lists articles associated with the title Hurwitz matrix. If an internal link...

Routh–Hurwitz matrix, or more commonly just Hurwitz matrix, corresponding to a polynomial is a particular matrix whose nonzero entries are coefficients of the...

Fourier series with a matrix of coefficients, a fuzzed-out quantum analog of the Fourier series. Classically, the Fourier coefficients give the intensity...

relationship between two variables of interest, using their correlation coefficient will give misleading results if there is another confounding variable...

covariance matrix (also known as auto-covariance matrix, dispersion matrix, variance matrix, or variance–covariance matrix) is a square matrix giving the...

themselves, the inverse of the correlation matrix R x x {\displaystyle R_{xx}} accounts for this. The squared coefficient of multiple correlation can also be...

&\\&&&&&&1\end{bmatrix}}} So Ti,j A is the matrix produced by exchanging row i and row j of A. Coefficient wise, the matrix Ti,j is defined by : [ T i , j ] k...

As explained in determining coefficients of operator matrix, there is a special basis, e1, ..., en, for which the matrix A takes the diagonal form. Hence...

a matrix. The major approaches within statistical multivariate data analysis can all be brought into a common framework in which the RV coefficient is...

In mathematics, the matrix exponential is a matrix function on square matrices analogous to the ordinary exponential function. It is used to solve systems...

incidence matrix of a bipartite graph, which is the coefficient matrix for bipartite matching, is totally unimodular (TU). (The unoriented incidence matrix of...

{\displaystyle \rho _{T}} ) or coefficient alpha (coefficient α {\displaystyle \alpha } ), is a reliability coefficient and a measure of the internal consistency...

classical adjoint of a square matrix A, adj(A), is the transpose of its cofactor matrix. It is occasionally known as adjunct matrix, or "adjoint", though that...