Издательство: | Книга по требованию |
Дата выхода: | июль 2011 |
ISBN: | 978-6-1311-6570-2 |
Объём: | 92 страниц |
Масса: | 160 г |
Размеры(В x Ш x Т), см: | 23 x 16 x 1 |
High Quality Content by WIKIPEDIA articles! We assume that the the underlying field is not of characteristic 2: that is, that 1 + 1 0 where 1 denotes the multiplicative identity and 0 the additive identity of the given field. Otherwise, a skew-symmetric matrix is just the same thing as a symmetric matrix. Sums and scalar multiples of skew-symmetric matrices are again skew-symmetric. Hence, the skew-symmetric matrices form a vector space. Its dimension is n(n–1)/2. Let Matn denote the space of n x n matrices. A skew-symmetric matrix is determined by n(n – 1)/2 scalars (the number of entries above the main diagonal); a symmetric matrix is determined by n(n + 1)/2 scalars (the number of entries on or above the main diagonal). If Skewn denotes the space of n x n skew-symmetric matrices and Symn denotes the space of n x n symmetric matrices and then since Matn = Skewn + Symn and Skewn Symn = {0}, i.e.
Данное издание не является оригинальным. Книга печатается по технологии принт-он-деманд после получения заказа.