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commute matrices

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  • Matrices de rotation — Matrice de rotation En mathématiques, et plus précisément en algèbre linéaire, une matrice de rotation est une matrice orthogonale de déterminant 1. Le nom est dû au fait qu une matrice de rotation n×n correspond à une rotation géométrique autour …   Wikipédia en Français

  • 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

  • Gamma matrices — In mathematical physics, the gamma matrices, {γ0,γ1,γ2,γ3}, also known as the Dirac matrices, are a set of conventional matrices with specific anticommutation relations that ensure they generate a matrix representation of the Clifford algebra… …   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

  • Pauli matrices — The Pauli matrices are a set of 2 times; 2 complex Hermitian and unitary matrices. Usually indicated by the Greek letter sigma (σ), they are occasionally denoted with a tau (τ) when used in connection with isospin symmetries. They are::sigma 1 =… …   Wikipedia

  • Gell-Mann matrices — The Gell Mann matrices, named for Murray Gell Mann, are one possible representation of the infinitesimal generators of the special unitary group called SU(3).This group has eight generators, which we can write as gi , with i taking values from 1… …   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

  • Matrix mechanics — Quantum mechanics Uncertainty principle …   Wikipedia

  • Normal 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.… …   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

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