# Random matrix generator

## World's simplest math tool

World's simplest browser-based random matrix generator. Just load this tool and you will instantly get a random matrix. Or you can press a button and get another random matrix. Free, quick, and very powerful. Created by mathematicians for mathematicians.

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Random matrix generator tool
What is a random matrix generator?

This tool generates all kinds of random matrices and has over a dozen differnt options. You can change the matrix dimension by entering the number of rows and columns. You can separate matrix elements and rows with any character. You can set the range of minimum and maximum allowed random values. You can create the matrix using integer numbers or decimal numbers, and control the number of decimal number precision. Also, you can select various types of random matrices – you can generate fully filled (regular) matrices, diagonal matrices, upper and lower triangular matrices, and symmetric matrices. Finally, if necessary, you can improve the look of the random matrix by enabling prettify matrix option that will place all matrix elements in nice, evenly-spaced columns. Mathabulous!

Random matrix generator examples
Click to use

Fully-filled Random Matrix

This example generates a regular rectangular matrix with 10 rows and 8 columns. All matrix elements are integers and belong to the range from 1 to 50. Also for a better view, we've enabled the prettify mode.

**Required options**

Number of rows.

Number of columns.

Select which character will
separate matrix elements.

Select which character will
separate matrix rows.

Minimum element value.

Maximum element value.

Fill all elements of the matrix.

Make sure all elements
align in neat columns.

Create an Identity Matrix

This example generates a square 10 by 10 diagonal matrix (that is, all elements outside the main diagonal are zero). Since the minimum and maximum values equal to 1, we get the identity matrix. Not very random but very fun!

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

**Required options**

Number of rows.

Number of columns.

Select which character will
separate matrix elements.

Select which character will
separate matrix rows.

Minimum element value.

Maximum element value.

Fill only elements on the diagonal.

Make sure all elements
align in neat columns.

Upper Triangular Random Matrix

In this example we generate a random right triangular matrix (all elements below the main diagonal are zero). We choose to generate fractional numbers with 2 digits after the decimal point, and enable the prettify mode to have even columns.

7.63 8.11 8.55 7.21 4.83 3.86
0 9.31 7.99 8.14 5.18 6.85
0 0 4.34 2.85 5.29 3.75
0 0 0 2.21 6.28 1.03
0 0 0 0 4.71 3.96
0 0 0 0 0 3.32

**Required options**

Number of rows.

Number of columns.

Select which character will
separate matrix elements.

Select which character will
separate matrix rows.

Minimum element value.

Maximum element value.

Adjust the number of digits
after the decimal point.

Fill only elements above the diagonal.

Make sure all elements
align in neat columns.

Symmetric Random Binary Matrix

In this example we generate a random symmetric matrix with binary elements. To do it we set the value range from 0 to 1, and choose the symmetric matrix type.

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

**Required options**

Number of rows.

Number of columns.

Select which character will
separate matrix elements.

Select which character will
separate matrix rows.

Minimum element value.

Maximum element value.

Make element a_ij equal to a_ji.

Make sure all elements
align in neat columns.

Random Lower Triangular Matrix with Negative Values

This example creates a lower triangular matrix with random negative numbers. We set the random value range to be min=-100 and max=-1. This generates random values for this matrix from -100 to -1 (inclusive).

-74 0 0 0 0 0
-37 -8 0 0 0 0
-99 -40 -92 0 0 0
-76 -60 -32 -3 0 0
-2 -89 -78 -33 -77 0
-81 -52 -10 -16 -47 -96

**Required options**

Number of rows.

Number of columns.

Select which character will
separate matrix elements.

Select which character will
separate matrix rows.

Minimum element value.

Maximum element value.

Fill only elements below the diagonal.

Make sure all elements
align in neat columns.

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-random-matrix?&rows=10&columns=8&element-separator=%20&row-separator=%5Cn&range-start=1&range-end=50&whole-nums=true®ular-matrix=true&prettify-matrix=true

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