skew-symmetric matrix

  • 11Rotation 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… …

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  • 12Symplectic matrix — In mathematics, a symplectic matrix is a 2n times; 2n matrix M (whose entries are typically either real or complex) satisfying the condition:M^T Omega M = Omega,.where MT denotes the transpose of M and Omega; is a fixed nonsingular, skew… …

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  • 13Orthogonal matrix — In linear algebra, an orthogonal matrix (less commonly called orthonormal matrix[1]), is a square matrix with real entries whose columns and rows are orthogonal unit vectors (i.e., orthonormal vectors). Equivalently, a matrix Q is orthogonal if… …

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  • 14Essential matrix — In computer vision, the essential matrix is a 3 imes 3 matrix mathbf{E} , with some additional properties, which relates corresponding points in stereo images assuming that the cameras satisfy the pinhole camera model.FunctionMore specifically,… …

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  • 15Hamiltonian matrix — In mathematics, a Hamiltonian matrix A is any real 2n×2n matrix that satisfies the condition that KA is symmetric, where K is the skew symmetric matrix:K=egin{bmatrix}0 I n I n 0 end{bmatrix}and In is the n×n identity matrix. In other words, A… …

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  • 16Hollow matrix — In mathematics, a hollow matrix may refer to one of several related classes of matrix.parseA hollow matrix may be one with few non zero entries: that is, a sparse matrix [cite book | author=Pierre Massé | title=Optimal Investment Decisions: Rules …

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  • 17Schiefsymmetrische Matrix — Eine schiefsymmetrische Matrix (auch antisymmetrische Matrix) ist eine Matrix, die gleich dem Negativen ihrer Transponierten ist. Mathematisch: AT = − A bzw. für die Einträge Inhaltsverzeichnis 1 Eigenschaften …

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  • 18Tutte matrix — In graph theory, the Tutte matrix A of a graph G = ( V , E ) is a matrix used to determine the existence of a perfect matching: that is, a set of edges which is incident with each vertex exactly once.If the set of vertices V has 2 n elements then …

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  • 19Diagonalizable matrix — In linear algebra, a square matrix A is called diagonalizable if it is similar to a diagonal matrix, i.e., if there exists an invertible matrix P such that P −1AP is a diagonal matrix. If V is a finite dimensional vector space, then a linear …

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  • 20Normal matrix — A complex square matrix A is a normal matrix if where A* is the conjugate transpose of A. That is, a matrix is normal if it commutes with its conjugate transpose. If A is a real matrix, then A*=AT. Hence, the matrix is normal if ATA = AAT.… …

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