# Transpose matrix finder

## World's simplest number tool

Quickly find the transpose of a matrix in your browser. To get your transposed matrix, just enter your original matrix in the input field, adjust row and column separators in the options below, and this utility will instantly flip it over its diagonal. Created by developers for developers.

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A link to this tool, including input, options and all chained tools.

Transpose matrix finder tool
What is a transpose matrix finder?

This is an online browser-based utility for finding the transpose of a matrix. Transposing a matrix means to exchange its rows with columns and columns with rows. Another way to do it is to simply flip all elements over its diagonal. For example, given an element a_ij, where i is the row and j is the column, it becomes a_ji. In this tool, you can enter the matrix in any format by specifying in the options, which characters separate numbers in columns and rows. You can also change the delimiter characters for the output transposed matrix. And as a bonus, you can align all numbers of the output matrix into neat columns by enabling beautify matrix option. That's numberwang!

Transpose matrix finder examples
Click to use

Find Transpose of a Square Matrix

In this example, we find the transpose of a square matrix with dimensions 3x3. Here you can clearly see how the numbers that were placed horizontally turned into vertical columns.

1 1 1
2 2 2
3 3 3

1 2 3
1 2 3
1 2 3

**Required options**

Column delimiter of the input
matrix. (By default a space.)

Row delimiter of the input
matrix. (By default a newline.)

Column delimiter of the output
matrix. (By default a space.)

Row delimiter of the output
matrix. (By default a newline.)

Find Transpose of a Rectangular Matrix

In this example, we transpose a rectangular matrix. The input matrix has 3 rows and 8 columns (dimensions 3x8), and as a result of changing rows to columns, we get a matrix of size 8 by 3 (dimensions 8x3). We also align all numbers in columns and separate them with a comma symbol.

-2 40 33 0 60 -34 90 -1
7 -62 8 9 24 -2 -8 -3
10 3 -56 2 -5 -6 23 -1

-2, 7, 10
40, -62, 3
33, 8, -56
0, 9, 2
60, 24, -5
-34, -2, -6
90, -8, 23
-1, -3, -1

**Required options**

Column delimiter of the input
matrix. (By default a space.)

Row delimiter of the input
matrix. (By default a newline.)

Column delimiter of the output
matrix. (By default a space.)

Row delimiter of the output
matrix. (By default a newline.)

Format the numbers into
neat columns.

Find Transpose of a Row Matrix

In this example, we transpose a row matrix. A row matrix can also be called a vector. By transposing a vector, it rotates from a horizontal position to a vertical position. Also, note that this tool is able to transpose a parameterized matrix (in our example "a" and "b" are variables and not concrete numbers.)

8 55 a 1 30 b 2

8
55
a
1
30
b
2

**Required options**

Column delimiter of the input
matrix. (By default a space.)

Row delimiter of the input
matrix. (By default a newline.)

Column delimiter of the output
matrix. (By default a space.)

Row delimiter of the output
matrix. (By default a newline.)

Format the numbers into
neat columns.

Pro tips
Master online number tools

You can pass input to this tool via

__?input__query argument and it will automatically compute output. Here's how to type it in your browser's address bar. Click to try!
https://onlinenumbertools.com/find-matrix-transpose

__?input__=1%201%201%0A2%202%202%0A3%203%203&input-element-separator=%20&input-row-separator=%5Cn&output-element-separator=%20&output-row-separator=%5Cn
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