# Unit matrix generator

## World's simplest number tool

Quickly generate a unit matrix in your browser. To get your matrix, just specify the matrix order you need in the options below, and this utility will generate a unit matrix of this size with 1's on the main diagonal. Created by developers for developers.

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Unit matrix generator tool
What is a unit matrix generator?

This is an online browser-based utility for generating unit matrices. A unit matrix is a diagonal matrix where all the diagonal elements are equal to 1 and all other elements are 0. The product of any square matrix by the identity matrix is equal to the matrix itself. The unit matrix is also called the identity matrix and is denoted by the symbol Un (and also sometimes by symbols In or En). U stands for Unit, I for Identity and E for Einheitsmatrix (from German). The symbol n in this notation is equal to the order of the square matrix of dimension n×n. For example, I5 is a 5×5 identity matrix. In this tool, you can specify the order of the matrix (the value of "n"), as well as customize the separator characters for columns and rows. That's numberwang!

Unit matrix generator examples
Click to use

14th Order Unit Matrix

In this example, we create a unit matrix of size 14x14. We put a 1 where the row equals the column and a 0 in all other positions.

1 0 0 0 0 0 0 0 0 0 0 0 0 0
0 1 0 0 0 0 0 0 0 0 0 0 0 0
0 0 1 0 0 0 0 0 0 0 0 0 0 0
0 0 0 1 0 0 0 0 0 0 0 0 0 0
0 0 0 0 1 0 0 0 0 0 0 0 0 0
0 0 0 0 0 1 0 0 0 0 0 0 0 0
0 0 0 0 0 0 1 0 0 0 0 0 0 0
0 0 0 0 0 0 0 1 0 0 0 0 0 0
0 0 0 0 0 0 0 0 1 0 0 0 0 0
0 0 0 0 0 0 0 0 0 1 0 0 0 0
0 0 0 0 0 0 0 0 0 0 1 0 0 0
0 0 0 0 0 0 0 0 0 0 0 1 0 0
0 0 0 0 0 0 0 0 0 0 0 0 1 0
0 0 0 0 0 0 0 0 0 0 0 0 0 1

**Required options**

Customize the separator
character for rows here.
(Line break "\n" by default.)

Customize the separator
character for columns here.
(Space by default.)

Enter the size "n" of the unit
matrix n×n.

Nonstandard Unit Matrix

This example generates an identity matrix of dimension 3 in a nonstandard format. A dash character is used as a column separator and a comma is used as a row separator.

1-0-0, 0-1-0, 0-0-1

**Required options**

Customize the separator
character for rows here.
(Line break "\n" by default.)

Customize the separator
character for columns here.
(Space by default.)

Enter the size "n" of the unit
matrix n×n.

Pro tips
Master online number tools

You can pass options to this tool using their codes as query arguments and it will automatically compute output. To get the code of an option, just hover over its icon. Here's how to type it in your browser's address bar. Click to try!

https://onlinenumbertools.com/generate-unit-matrix?&size=14&element-separator=%20&row-separator=%5Cn

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