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orthogonal multiplication

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  • Orthogonal 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… …   Wikipedia

  • Orthogonal group — Group theory Group theory …   Wikipedia

  • Orthogonal frequency-division multiplexing — Passband modulation v · d · e Analog modulation AM · …   Wikipedia

  • Orthogonal basis — In mathematics, particularly linear algebra, an orthogonal basis for an inner product space V is a basis for V whose vectors are mutually orthogonal. If the vectors of an orthogonal basis are normalized, the resulting basis is an orthonormal… …   Wikipedia

  • Groupe orthogonal — En mathématiques, le groupe orthogonal d une forme quadratique q sur un espace vectoriel E sur un corps corps commutatif K est le sous groupe de éléments du groupe linéaire GL(E) de E qui laissent invariantes la q: q(f(x)) = q(x) pour tout… …   Wikipédia en Français

  • Groupe Orthogonal — Généralités Soit E un espace vectoriel de dimension finie n sur un corps , muni d une forme quadratique q. Un automorphisme orthogonal pour cette forme quadratique est un automorphisme linéaire f du espace vectoriel E laissant invariant q.… …   Wikipédia en Français

  • Classical orthogonal polynomials — In mathematics, the classical orthogonal polynomials are the most widely used orthogonal polynomials, and consist of the Hermite polynomials, the Laguerre polynomials, the Jacobi polynomials together with their special cases the ultraspherical… …   Wikipedia

  • Projection (linear algebra) — Orthogonal projection redirects here. For the technical drawing concept, see orthographic projection. For a concrete discussion of orthogonal projections in finite dimensional linear spaces, see vector projection. The transformation P is the… …   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

  • Lie group — Lie groups …   Wikipedia

  • Vector space — This article is about linear (vector) spaces. For the structure in incidence geometry, see Linear space (geometry). Vector addition and scalar multiplication: a vector v (blue) is added to another vector w (red, upper illustration). Below, w is… …   Wikipedia

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