Издательство: | Книга по требованию |
Дата выхода: | июль 2011 |
ISBN: | 978-6-1311-1685-8 |
Объём: | 96 страниц |
Масса: | 166 г |
Размеры(В x Ш x Т), см: | 23 x 16 x 1 |
High Quality Content by WIKIPEDIA articles! In mathematics, a unitary matrix is an ntimes n complex matrix U satisfying the condition U^{dagger} U = UU^{dagger} = I_n, where In is the identity matrix in n dimensions and U^{dagger} is the conjugate transpose (also called the Hermitian adjoint) of U. Note this condition says that a matrix U is unitary if and only if it has an inverse which is equal to its conjugate transpose U^{dagger} , U^{-1} = U^{dagger} ,; A unitary matrix in which all entries are real is an orthogonal matrix. Just as an orthogonal matrix G preserves the (real) inner product of two real vectors, langle Gx, Gy rangle = langle x, y rangle so also a unitary matrix U satisfies langle Ux, Uy rangle = langle x, y rangle for all complex vectors x and y, where langlecdot,cdotrangle stands now for the standard inner product on mathbb{C}^n.
Данное издание не является оригинальным. Книга печатается по технологии принт-он-деманд после получения заказа.