# Identity matrix generator

## World's simplest math tool

Free online identity matrix generator. Just set the matrix size in the options and you'll automatically get a unit matrix of this dimension in the output form below. There are no ads, popups or nonsense – just a unit matrix generator. Created by math nerds from team Browserling.

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Identity matrix generator tool
What is a identity matrix generator?

This tool generates identity matrices of any size. A matrix is called an identity matrix (also known as unit matrix) if each element a_ij, where i = j, is equal to one, and each element a_ij, where i ≠ j, is equal to zero (i corresponds to the row number, j corresponds to the column number). The identity matrix is always a square matrix and has a dimensions of nxn. In this tool you can change the matrix dimension by specifying 'n' in the options. You can also customize the formatting of the matrix by selecting characters that separate elements and rows. Mathabulous!

Identity matrix generator examples
Click to use

A 12x12 Identity Matrix

This example generates a unit matrix of the twelfth order. That is, there are 12 ones on the diagonal (and all other elements are zero.)

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

**Required options**

Order of the square matrix.

Use these characters to
separate unit matrix elements.

Use these characters to
separate unit matrix rows.

Use Unique Separators

In this example, we create a third-order (3x3) identity matrix using the dot symbol to separate elements and three asterisks to separate the rows.

1.0.0 *** 0.1.0 *** 0.0.1

**Required options**

Order of the square matrix.

Use these characters to
separate unit matrix elements.

Use these characters to
separate unit matrix rows.

First Order Unit Matrix

Here's a fun example - we set the size of the matrix to be one and that generates just a single element matrix, which is just one.

1

**Required options**

Order of the square matrix.

Use these characters to
separate unit matrix elements.

Use these characters to
separate unit matrix rows.

Pro tips
Master online math 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://onlinemathtools.com/generate-identity-matrix?&size=12&element-separator=%20&row-separator=%5Cn

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