skew-symmetric matrix

skew-symmetric matrix
кососимметрическая матрица

Большой англо-русский и русско-английский словарь. 2001.

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  • Skew-symmetric matrix — In linear algebra, a skew symmetric (or antisymmetric) matrix is a square matrix A whose transpose is also its negative; that is, it satisfies the equation:: A T = − A or in component form, if A = ( a ij ):: a ij = − a ji for all i and j .For… …   Wikipedia

  • Skew-Hermitian matrix — In linear algebra, a square matrix (or more generally, a linear transformation from a complex vector space with a sesquilinear norm to itself) A is said to be skew Hermitian or antihermitian if its conjugate transpose A * is also its negative.… …   Wikipedia

  • Symmetric matrix — In linear algebra, a symmetric matrix is a square matrix, A , that is equal to its transpose:A = A^{T}. ,!The entries of a symmetric matrix are symmetric with respect to the main diagonal (top left to bottom right). So if the entries are written… …   Wikipedia

  • Skew-Hamiltonian matrix — In linear algebra, skew Hamiltonian matrices are special matrices which correspond to skew symmetric bilinear forms on a symplectic vector space.Let V be a vector space, equipped with a symplectic form Omega. Such a space must be even dimensional …   Wikipedia

  • skew-symmetric determinant — noun : a determinant whose matrix is skew symmetric …   Useful english dictionary

  • skew-symmetric — /skyooh si me trik/, adj. Math. noting a square matrix that is equal to the negative of its transpose. * * * …   Universalium

  • skew-symmetric — adjective (Of a matrix) whose entries on one side of the diagonal are the additive inverses of their correspondents on the other side of the diagonal and the elements on the main diagonal are zero Syn: antisymmetric …   Wiktionary

  • skew-symmetric — | ̷ ̷ ̷ ̷| ̷ ̷ ̷ ̷ adjective of a matrix : such that the element in the rth row and sth column is the negative of the element in the sth row and rth column …   Useful english dictionary

  • 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

  • Matrix exponential — In mathematics, the matrix exponential is a matrix function on square matrices analogous to the ordinary exponential function. Abstractly, the matrix exponential gives the connection between a matrix Lie algebra and the corresponding Lie group.… …   Wikipedia

  • Rotation matrix — In linear algebra, a rotation matrix is a matrix that is used to perform a rotation in Euclidean space. For example the matrix rotates points in the xy Cartesian plane counterclockwise through an angle θ about the origin of the Cartesian… …   Wikipedia


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