The term R-matrix has several meanings, depending on the field of study. Its original use has been to mathematically describe nuclear reactions. In particular...

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 = [...

statistics, the projection matrix ( P ) {\displaystyle (\mathbf {P} )} , sometimes also called the influence matrix or hat matrix ( H ) {\displaystyle (\mathbf...

In mathematics, a matrix (pl.: matrices) is a rectangular array or table of numbers or other mathematical objects with elements or entries arranged in...

and A is an n × n matrix with entries from R. The (i, j)-minor of A, denoted Mij, is the determinant of the (n − 1) × (n − 1) matrix that results from...

invertible matrix (non-singular, non-degenarate or regular) is a square matrix that has an inverse. In other words, if some other matrix is multiplied...

In linear algebra, the rank of a matrix A is the dimension of the vector space generated (or spanned) by its columns. This corresponds to the maximal number...

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...

The Matrix Reloaded is a 2003 American science fiction action film written and directed by the Wachowskis. It is the sequel to The Matrix (1999) and the...

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...

a theorem in linear algebra, which asserts: the number of columns of a matrix M is the sum of the rank of M and the nullity of M; and the dimension of...

transpose of a matrix is an operator which flips a matrix over its diagonal; that is, it switches the row and column indices of the matrix A by producing...

polynomial equation which holds for all matrices A in a specified matrix ring Mn(R). Matrix polynomials are often demonstrated in undergraduate linear algebra...

× r {\displaystyle m\times r} ⁠ semi-unitary matrix and V {\displaystyle \mathbf {V} } is an ⁠ n × r {\displaystyle n\times r} ⁠ semi-unitary matrix, such...

matrix. Otherwise, Cr (A) has size ( m r ) × ( n r ) {\textstyle {\binom {m}{r}}\!\times \!{\binom {n}{r}}} . Its rows and columns are indexed by r-element...

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...

matrix is equal to the number of rows of the second matrix. Hence, if an m × n matrix is multiplied with an n × r matrix, then the resultant matrix will...

The Matrix is an American cyberpunk media franchise consisting of four feature films, beginning with The Matrix (1999) and continuing with three sequels...

there exists an m × n {\displaystyle m\times n} matrix A {\displaystyle A} , called the transformation matrix of T {\displaystyle T} , such that: T ( x )...

Look up Matrix, matrix, matrixes, or matrices in Wiktionary, the free dictionary. Matrix (pl.: matrices or matrixes) or MATRIX may refer to: Matrix (mathematics)...

mathematics, a square matrix is a matrix with the same number of rows and columns. An n-by-n matrix is known as a square matrix of order n {\displaystyle...

In mathematics, a symmetric matrix M {\displaystyle M} with real entries is positive-definite if the real number x T M x {\displaystyle \mathbf {x} ^{\mathsf...

computer science, an adjacency matrix is a square matrix used to represent a finite graph. The elements of the matrix indicate whether pairs of vertices...

the real spaces R n {\displaystyle \mathbb {R} ^{n}} and R m {\displaystyle \mathbb {R} ^{m}} respectively. Let A be an m-by-n matrix. Then rank(A) =...

algebra, a matrix decomposition or matrix factorization is a factorization of a matrix into a product of matrices. There are many different matrix decompositions;...

In mathematics, a Hermitian matrix (or self-adjoint matrix) is a complex square matrix that is equal to its own conjugate transpose—that is, the element...

of the Jacobian matrix. The Jacobian determinant is fundamentally used for changes of variables in multiple integrals. Let f : R n → R m {\textstyle \mathbf...

factorization, is a decomposition of a matrix A into a product A = QR of an orthonormal matrix Q and an upper triangular matrix R. QR decomposition is often used...

In mathematics, the Hessian matrix, Hessian or (less commonly) Hesse matrix is a square matrix of second-order partial derivatives of a scalar-valued function...

a matrix R {\displaystyle R} , acting on two out of three objects, satisfies ( R ˇ ⊗ 1 ) ( 1 ⊗ R ˇ ) ( R ˇ ⊗ 1 ) = ( 1 ⊗ R ˇ ) ( R ˇ ⊗ 1 ) ( 1 ⊗ R ˇ )...