what is matrices in maths

In mathematics, a matrix 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). Matrices are used in most areas of mathematics and most scientific fields, either directly, or through their use in geometry and numerical analysis). Matrices are subject to standard operations such as addition and multiplication). The dimensions of a matrix tell its size: the number of rows and columns of the matrix, in that order. Matrices have wide applications in engineering, physics, economics, and statistics as well as in various branches of mathematics. They are also important in computer graphics, where they have been used to represent rotations and other transformations of images. Matrices are used to represent linear maps and allow explicit computations in linear algebra). They are also used in geometry to specify and represent geometric transformations, such as rotations, and coordinate changes). In numerical analysis, many computational problems are solved by reducing them to a matrix computation, and this often involves computing with matrices of huge dimension).