Matrix Notation

MatrixNotation

A matrix is a function that maps between two vector spaces. The variable m corresponds to the number of rows, and the variable n corresponds to the number of columns.

In Linear Algebra, a by matrix is denoted as a grid of numbers with two brackets on either side. The variable corresponds to the number of rows, and the variable corresponds to the number of columns. The notation for a matrix is a shorthand way to write a system of linear equations.

A matrix is a shorthand way to write a system of linear equations.

Usage

A matrix represents a function that maps between two vector spaces. For example, the matrix below describes a function that maps between three space and two space. .

A matrix is a function that maps between two vector spaces. This image shows how the input correlates with each column and that the output is the result of summing the contents each row.

Notation

It is also common to use the variable to represent a matrix, the variable to represent the input vector, and the varaible to represent the output vector.