Matrix ↩

Metadata

aliases: [matrix]
shorthands: {}
created: 2021-12-04 15:38:06
modified: 2022-01-10 04:13:02

A matrix in an

array or table of numbers, symbols or expressions, arranged in rows and columns. They are used to represent a suitable mathematical object.

Indexing, notation

Any element of a matrix can be referred to using two indices. The indexing is done according to the following example:

Also we can use either box brackets or parentheses, as seen here.

Size

Matrices can have any positive integer number of rows and columns.

A matrix with rows and columns is called an matrix.
An example for a matrix:

The set of real matrices is usually denoted . (For complex matrices, )

Representing linear maps

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.