In mathematics and multivariate statistics, the centering matrix is a symmetric and idempotent matrix, which when multiplied with a vector has the same...

The Matrix is a 1999 science fiction action film written and directed by the Wachowskis. It is the first installment in the Matrix film series, starring...

{\displaystyle \,C_{n}} is the n-by-n centering matrix. The maximum likelihood estimate, given n samples, for the covariance matrix of a multivariate normal distribution...

D^{(2)}=[d_{ij}^{2}]} Apply double centering: B = − 1 2 C D ( 2 ) C {\textstyle B=-{\frac {1}{2}}CD^{(2)}C} using the centering matrix C = I − 1 n J n {\textstyle...

probability theory. Bernoulli matrix — a square matrix with entries +1, −1, with equal probability of each. Centering matrix — a matrix which, when multiplied...

In mathematics, the matrix representation of conic sections permits the tools of linear algebra to be used in the study of conic sections. It provides...

columns in the first matrix must be equal to the number of rows in the second matrix. The resulting matrix, known as the matrix product, has the number...

Matrix Resurrections is a 2021 American science fiction action film produced, co-written, and directed by Lana Wachowski, and the first in the Matrix...

in the definition of a Riemannian submersion. Centering matrix, which is an example of a projection matrix. Dykstra's projection algorithm to compute the...

is the elementwise square of the geodesic distance matrix D = [Dij], H is the centering matrix, given by H = I n − 1 N e N e N T , where  e N = [ 1...

parentheses is thus the K × K {\displaystyle K\times K} centering matrix) The Fisher information matrix for estimating the parameters of a multivariate normal...

rotation matrix is a transformation matrix that is used to perform a rotation in Euclidean space. For example, using the convention below, the matrix R = [...

{1}{n}}J_{n}} , and J n {\textstyle J_{n}} is an n×n matrix of ones. ( L {\displaystyle L} is a centering matrix which is equivalent to regression on a constant;...

n-by-n square matrix A is called invertible (also nonsingular, nondegenerate or rarely regular) if there exists an n-by-n square matrix B such that A...

} for some m × n {\displaystyle m\times n} matrix A {\displaystyle A} , called the transformation matrix of T {\displaystyle T} .[citation needed] Note...

In computer vision a camera matrix or (camera) projection matrix is a 3 × 4 {\displaystyle 3\times 4} matrix which describes the mapping of a pinhole camera...

covariance matrix of rank k − 1. In the special case where k = n and where the pi are all equal, the covariance matrix is the centering matrix. The entries...

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

In biology, the extracellular matrix (ECM), also called intercellular matrix (ICM), is a network consisting of extracellular macromolecules and minerals...

In linear algebra, a diagonal matrix is a matrix in which the entries outside the main diagonal are all zero; the term usually refers to square matrices...

vector calculus, the Jacobian matrix (/dʒəˈkoʊbiən/, /dʒɪ-, jɪ-/) of a vector-valued function of several variables is the matrix of all its first-order partial...

The Toyota Matrix, officially named Toyota Corolla Matrix, is a compact hatchback manufactured by Toyota Motor Manufacturing Canada in Cambridge, Ontario...

_{m}\mathbf {1} _{m}^{T}} is the centering matrix, I m {\displaystyle \mathbf {I} _{m}} is the m-dimensional identity matrix (m: the number of samples), 1...

Identity for Rank Augmenting Matrices with Application to Centering", SIAM Journal on Matrix Analysis and Applications, 13 (1992)659-662, doi:10.1137/0613040...

the matrix multiplication A v = λ v , {\displaystyle A\mathbf {v} =\lambda \mathbf {v} ,} where the eigenvector v is an n by 1 matrix. For a matrix, eigenvalues...

A risk matrix is a matrix that is used during risk assessment to define the level of risk by considering the category of likelihood (often confused with...

abstract algebra, a matrix ring is a set of matrices with entries in a ring R that form a ring under matrix addition and matrix multiplication. The set...

in linear algebra and matrix theory, a centrosymmetric matrix is a matrix which is symmetric about its center. An n × n matrix A = [Ai, j] is centrosymmetric...

Matrix (1999), a major box-office success for which they won the Saturn Award for Best Director. They wrote and directed its two sequels, The Matrix Reloaded...

linear algebra, an idempotent matrix is a matrix which, when multiplied by itself, yields itself. That is, the matrix A {\displaystyle A} is idempotent...