Unitary matrix

id: unitary-matrix-169-6361703
title: Unitary matrix
text: In advanced linear algebra, an invertible complex square matrix U is unitary if its matrix inverse U−1 equals its conjugate transpose U*, that is, if U ∗ U = U U ∗ = I, where I is the identity matrix. In physics, especially in quantum mechanics, the conjugate transpose is referred to as the Hermitian adjoint of a matrix and is denoted by a dagger (†), so the equation above is written U † U = U U † = I. A complex matrix U is special unitary if it is unitary and its matrix determinant equals 1. Fo
brand slug: wiki
category slug: encyclopedia
description: Complex matrix whose conjugate transpose equals its inverse
original url: https://en.wikipedia.org/wiki/Unitary_matrix
date created: 2002-10-23T22:37:33Z
date modified: 2024-08-31T07:48:23Z
main entity: {"identifier":"Q727103","url":"https://www.wikidata.org/entity/Q727103"}
image:
fields total: 13
integrity: 15

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