m×nmatriisissa

An m×n matrix is a rectangular array of numbers, symbols, or expressions arranged in m rows and n columns. The notation m×n signifies the dimensions of the matrix, where 'm' represents the number of rows and 'n' represents the number of columns. For instance, a 2×3 matrix has two rows and three columns.

Matrices are fundamental objects in linear algebra and have wide-ranging applications in various fields, including mathematics, physics, engineering, computer science, and economics. They are used to represent systems of linear equations, transformations, data sets, and more.

The elements within a matrix are typically denoted by a letter with subscripts indicating their row and column position. For example, a_ij refers to the element in the i-th row and j-th column of a matrix. The order of the dimensions is crucial; an m×n matrix is distinct from an n×m matrix unless m equals n (in which case it is a square matrix). Operations such as addition, subtraction, scalar multiplication, and matrix multiplication are defined for matrices, with specific rules governing their application based on the dimensions of the matrices involved.