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commuting matrix

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  • Commuting matrices — In linear algebra, a set of matrices is said to commute if they commute pairwise, meaning AiAj = AjAi for every pair i, j (equivalently, the commutator vanishes: [Ai,Aj]; more abstractly, if the algebra they generate is an abelian Lie… …   Wikipedia

  • Matrix mechanics — Quantum mechanics Uncertainty principle …   Wikipedia

  • Matrix pencil — If are complex matrices for some nonnegative integer l, and (the zero matrix), then the matrix pencil of degree l is the matrix valued function defined on the complex numbers A particular case is a linear matrix pencil …   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 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

  • Diagonalizable 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 …   Wikipedia

  • Paire de matrices commutantes — En mathématiques, une paire de matrices commutantes est un couple (A,B) de matrices carrées à coefficients dans un corps commutatif qui commutent, c est à dire que AB = BA. L étude des paires de matrices commutantes a des aspects tout à fait… …   Wikipédia en Français

  • Paires de matrices commutantes — Paire de matrices commutantes En mathématiques, une paire de matrices commutantes est un couple (A,B) de matrices carrées à coefficients dans un corps qui commutent, c est à dire que AB = BA. L étude des paires de matrices commutantes a des… …   Wikipédia en Français

  • Schur decomposition — In the mathematical discipline of linear algebra, the Schur decomposition or Schur triangulation (named after Issai Schur) is an important matrix decomposition. Statement The Schur decomposition reads as follows: if A is a n times; n square… …   Wikipedia

  • Invariant subspace — In mathematics, an invariant subspace of a linear mapping : T : V rarr; V from some vector space V to itself is a subspace W of V such that T ( W ) is contained in W . An invariant subspace of T is also said to be T invariant.If W is T invariant …   Wikipedia

  • Spin-statistics theorem — Statistical mechanics Thermodynamics · …   Wikipedia

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