unitary matrix

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• Unitary matrix — In mathematics, a unitary matrix is an n by n complex matrix U satisfying the condition:U^* U = UU^* = I n, where I n, is the identity matrix and U^* , is the conjugate transpose (also called the Hermitian adjoint) of U . Note this condition says …   Wikipedia

• unitary matrix — unitarinė matrica statusas T sritis fizika atitikmenys: angl. unitary matrix vok. unitäre Matrix, f rus. унитарная матрица, f pranc. matrice unitaire, f …   Fizikos terminų žodynas

• unitary matrix — noun : a matrix that has an inverse and a transpose whose corresponding elements are pairs of conjugate complex numbers …   Useful english dictionary

• Unitary — may refer to:* In automotive design, unitary construction is another common term for a unibody or monocoque construction * In Christian doctrine, unitarianism is the belief in a unitary God as opposed to the concept of the Trinity. ** Unitarian… …   Wikipedia

• Unitary group — In mathematics, the unitary group of degree n , denoted U( n ), is the group of n times; n unitary matrices, with the group operation that of matrix multiplication. The unitary group is a subgroup of the general linear group GL( n , C).In the… …   Wikipedia

• Matrix mechanics — Quantum mechanics Uncertainty principle …   Wikipedia

• Matrix decomposition — In the mathematical discipline of linear algebra, a matrix decomposition is a factorization of a matrix into some canonical form. There are many different matrix decompositions; each finds use among a particular class of problems. Contents 1… …   Wikipedia

• Matrix representation — This article is about the layout of matrices in the memory of computers. For the representation of groups and algebras by matrices in linear algebra, see representation theory. Matrix representation is a method used by a computer language to… …   Wikipedia

• Unitary operator — For unitarity in physics, see unitarity (physics). In functional analysis, a branch of mathematics, a unitary operator (not to be confused with a unity operator) is a bounded linear operator U : H → H on a Hilbert space H… …   Wikipedia

• Unitary transformation — Informally, a unitary transformation is a transformation that respects the dot product: the dot product of two vectors before the transformation is equal to their dot product after the transformation. More precisely, a unitary transformation is… …   Wikipedia

• Matrix (mathematics) — Specific elements of a matrix are often denoted by a variable with two subscripts. For instance, a2,1 represents the element at the second row and first column of a matrix A. In mathematics, a matrix (plural matrices, or less commonly matrixes)… …   Wikipedia