# Random matrix generator

## World's simplest number tool

Quickly generate random numeric matrices in your browser. To get your matrix, just specify the dimensions, number bounds and matrix type you need in the options below, and this utility will generate that matrix. Created by developers for developers.

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Random matrix generator tool
What is a random matrix generator?

This is an online browser-based utility for generating matrices with random numbers as their elements. You can generate random matrices of any size, shape, and form. All you need to do is enter the number of rows and columns in the options above as well as set the lowest and highest possible numeric values for random elements. You can also choose elements to be either integer or decimal numbers with the given precision. There are several templates for generating special types of matrices – 1) you can fill the matrix with random numbers only diagonally and generate a random diagonal matrix, 2) you can fill the matrix with random numbers above the diagonal and generate a random right-triangular matrix, 3) you can fill the matrix with random numbers below the diagonal and generate a left-triangular triangular matrix, 4) you can fill the matrix symmetrically and generate a random symmetric matrix, and 5) you can fill all matrix elements completely randomly. You can also customize matrix row and column separator symbols and if they're a space and a newline, then you can use beautify matrix function that aligns all matrix numbers into neat columns. That's numberwang!

Random matrix generator examples
Click to use

Random Six-by-six Matrix

In this example, we generate a matrix with whole random numbers as its elements and dimension 6x6. All elements belong to the range from -100 to 100 and fill the entire matrix. The matrix is also prettified so all numbers are aligned below each other.

27 78 61 89 -66 68
-66 18 -73 67 -97 29
65 72 76 -15 32 38
-3 -94 100 -23 -21 -21
17 -40 -71 27 29 -5
93 -13 48 -15 8 80

**Required options**

Elements fill the entire matrix.

Number of rows.

Number of columns.

Smallest random number.

Biggest random number.

Place this symbol between
matrix columns.

Place this symbol between
matrix rows.

Align all matrix elements
in elegant columns.

Random Diagonal Matrix

This example fills a matrix with random numbers only on the diagonal. All other elements are zeros. This is done by selecting the diagonal matrix type in the options. The range of random values is 0-9, which means diagonal elements can be only 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9.

9 0 0 0 0 0 0 0
0 1 0 0 0 0 0 0
0 0 5 0 0 0 0 0
0 0 0 1 0 0 0 0
0 0 0 0 7 0 0 0
0 0 0 0 0 4 0 0
0 0 0 0 0 0 5 0
0 0 0 0 0 0 0 0

**Required options**

Elements outside the diagonal are zeros.

Number of rows.

Number of columns.

Smallest random number.

Biggest random number.

Place this symbol between
matrix columns.

Place this symbol between
matrix rows.

Align all matrix elements
in elegant columns.

Random Right Triangular Matrix

This example generates a random upper triangular matrix (also known as right triangular matrix). This matrix has numbers only in the area above the main diagonal. We generate a matrix of fractions from the range [-5, 5], with three digits in the fractional part. As this matrix is rectangular (6x4), there are two zero rows under the main diagonal.

3.292 -1.541 1.776 -0.769
0 1.656 -4.467 0.979
0 0 4.721 -4.582
0 0 0 4.122
0 0 0 0
0 0 0 0

**Required options**

Elements below the diagonal are zeros.

Number of rows.

Number of columns.

Smallest random number.

Biggest random number.

Digits in fractional part.

Place this symbol between
matrix columns.

Place this symbol between
matrix rows.

Align all matrix elements
in elegant columns.

Random Left Triangular Matrix

In this example, we generate a lower triangular matrix (also known as left triangular matrix) of size 6 by 6. In this case, all numbers above the main diagonal are zero. We don't use the prettify matrix option here but instead, we split all rows of the matrix by a comma.

8, 0, 0, 0, 0, 0
46, 41, 0, 0, 0, 0
25, 19, 15, 0, 0, 0
14, 45, 11, 10, 0, 0
6, 35, 39, 46, 36, 0
48, 37, 2, 30, 49, 18

**Required options**

Elements above the diagonal are zeros.

Number of rows.

Number of columns.

Smallest random number.

Biggest random number.

Place this symbol between
matrix columns.

Place this symbol between
matrix rows.

Align all matrix elements
in elegant columns.

Random Negative Symmetric Matrix

This example creates a symmetric matrix, with random negative integers (from -10 to -1). A symmetric matrix has a property that element a_ij is equal to a_ji. Note that only a square matrix can be symmetrical, so we set the same number of rows and columns (equal to 4).

-1 -4 -3 -4
-4 -5 -2 -8
-3 -2 -7 -9
-4 -8 -9 -5

**Required options**

Elements on both sides of the main
diagonal are equal.

Number of rows.

Number of columns.

Smallest random number.

Biggest random number.

Place this symbol between
matrix columns.

Place this symbol between
matrix rows.

Align all matrix elements
in elegant columns.

Random Vector

This example generates a matrix that is actually just a random vector. The randomness range is very tight here with the minimum value equal to 0.1 and the maximal value equal to 0.2. We set the numeric precision equal to 5 digits and generate a column matrix with eight elements.

0.12439
0.15987
0.10011
0.12835
0.13184
0.11571
0.18000
0.11669

**Required options**

Elements fill the entire matrix.

Number of rows.

Number of columns.

Smallest random number.

Biggest random number.

Digits in fractional part.

Place this symbol between
matrix columns.

Place this symbol between
matrix rows.

Align all matrix elements
in elegant columns.

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/random-number-matrix?&rows=6&columns=6&element-separator=%20&row-separator=%5Cn&range-start=-100&range-end=100&whole-nums=true®ular-matrix=true&prettify-matrix=true

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