List of Matrices

List Of Matrices

This page lists some important classes of matrices used in mathematics, science and engineering. A matrix (plural matrices, or less commonly matrixes) is a rectangular array of numbers called entries. Matrices have a long history of both study and application, leading to diverse ways of classifying matrices. A first group is matrices satisfying concrete conditions of the entries, including constant matrices. An important example is the identity matrix given by

I_n = \begin{bmatrix} 1 & 0 & \cdots & 0 \\ 0 & 1 & \cdots & 0 \\ \vdots & \vdots & \ddots & \vdots \\ 0 & 0 & \cdots & 1 \end{bmatrix}.

Further ways of classifying matrices are according to their eigenvalues or by imposing conditions on the product of the matrix with other matrices. Finally, many domains, both in mathematics and other sciences including physics and chemistry have particular matrices that are applied chiefly in these areas.

Read more about List Of Matrices:  Matrices With Explicitly Constrained Entries, Matrices With Conditions On Eigenvalues or Eigenvectors, Matrices Satisfying Conditions On Products or Inverses, Matrices With Specific Applications, Matrices Used in Statistics, Matrices Used in Graph Theory, Matrices Used in Science and Engineering, Other Matrix-related Terms and Definitions

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