This is documentation for Mathematica 6, which was
based on an earlier version of the Wolfram Language.
 Matrix Operations Mathematica's matrix operations handle both numeric and symbolic matrices, automatically accessing large numbers of highly efficient algorithms. Mathematica uses state-of-the-art algorithms to work with both dense and sparse matrices, and incorporates a number of powerful original algorithms, especially for high-precision and symbolic matrices. +, *, ^, ... — all automatically work element-wise      Dot (.) — products of matrices, automatically handling row and column vectors Inverse — matrix inverse (use LinearSolve for linear systems)      Transpose — transpose (m, entered with Esc tr Esc) ConjugateTranspose — conjugate transpose (m, entered with Esc ct Esc) Tr — trace Det — determinant KroneckerProduct — matrix direct product (outer product)      MatrixPower — powers of numeric or symbolic matrices MatrixExp — matrix exponential      Eigenvalues, Eigenvectors — exact or approximate eigenvalues and eigenvectors Eigensystem — eigenvalues and eigenvectors together CharacteristicPolynomial — symbolic characteristic polynomial TUTORIALS Vectors and Matrices Basic Matrix Operations Eigenvalues and Eigenvectors Tensors MORE ABOUT Linear Systems Matrix-Based Minimization Matrix Decompositions Parts of Matrices New in 6.0: Matrix & Linear Algebra Functions RELATED LINKS Demonstrations related to Matrix Operations (The Wolfram Demonstrations Project)