skew-symmetric

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

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Universalium. 2010.

Look at other dictionaries:

• skew symmetric — adjective alternate spelling of skew symmetric …   Wiktionary

• 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

• 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-symmetric graph — In graph theory, a branch of mathematics, a skew symmetric graph is a directed graph that is isomorphic to its own transpose graph, the graph formed by reversing all of its edges. The isomorphism is required to be an involution without any fixed… …   Wikipedia

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

• 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-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

• skew-symmetry — noun The state of being skew symmetric …   Wiktionary