Concept

Matrix (mathematics)

Summary
In mathematics, a matrix (plural matrices) is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object. For example, \begin{bmatrix}1 & 9 & -13 \20 & 5 & -6 \end{bmatrix} is a matrix with two rows and three columns. This is often referred to as a "two by three matrix", a "2\times 3 matrix", or a matrix of dimension 2\times 3. Without further specifications, matrices represent linear maps, and allow explicit computations in linear algebra. Therefore, the study of matrices is a large part of linear algebra, and most properties and operations of abstract linear algebra can be expressed in terms of matrices. For example, matrix multiplication represents the composition of linear maps. Not all matrices are related to linear algebra. This is, in particular, the case in graph theory, of incidence matrices, and adj
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