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eigenvector of matrix

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  • Matrix mechanics — Quantum mechanics Uncertainty principle …   Wikipedia

  • Matrix differential equation — A differential equation is a mathematical equation for an unknown function of one or several variables that relates the values of the function itself and of its derivatives of various orders. A matrix differential equation is one containing more… …   Wikipedia

  • Eigenvector slew — In aerospace engineering, especially those areas dealing with spacecraft, the eigenvector slew is a method to calculate a steering correction (called a slew) by rotating the spacecraft around one fixed axis. This correponds in general to the… …   Wikipedia

  • 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 — /may triks, ma /, n., pl. matrices /may tri seez , ma /, matrixes. 1. something that constitutes the place or point from which something else originates, takes form, or develops: The Greco Roman world was the matrix for Western civilization. 2.… …   Universalium

  • eigenvector — noun a) A vector that is not rotated under a given linear transformation; a left or right eigenvector depending on context. b) A right eigenvector; a nonzero vector such that, for a particular matrix , for some scalar which is its eigenvalue and… …   Wiktionary

  • Matrix representation of conic sections — In mathematics, the matrix representation of conic sections is one way of studying a conic section, its axis, vertices, foci, tangents, and the relative position of a given point. We can also study conic sections whose axes aren t parallel to our …   Wikipedia

  • eigenvector — /ˈaɪgənvɛktə/ (say uyguhnvektuh) noun Physics, Mathematics a vector associated with a linear system of equations, as in a matrix, each one having an eigenvalue. {German eigen, literally, own + vector} …  

  • Eigenvalue, eigenvector and eigenspace — In mathematics, given a linear transformation, an Audio|De eigenvector.ogg|eigenvector of that linear transformation is a nonzero vector which, when that transformation is applied to it, changes in length, but not direction. For each eigenvector… …   Wikipedia

  • Eigendecomposition of a matrix — In the mathematical discipline of linear algebra, eigendecomposition or sometimes spectral decomposition is the factorization of a matrix into a canonical form, whereby the matrix is represented in terms of its eigenvalues and… …   Wikipedia

  • Generalized eigenvector — In linear algebra, a generalized eigenvector of a matrix A is a nonzero vector v, which has associated with it an eigenvalue lambda; having algebraic multiplicity k ge;1, satisfying: (A lambda I)^kmathbf{v} = mathbf{0}.Ordinary eigenvectors are… …   Wikipedia

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