# Matrix transposer

## World's simplest math tool

Free online matrix transposer. Just enter your matrix on the left and you'll automatically get a transposed matrix on the right. There are no ads, popups or nonsense – just a matrix transposer. Created by mathematicians for mathematicians.

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Matrix transposer tool
What is a matrix transposer?

This tool transposes matrices. Transposition is an operation on a matrix which swaps its columns and rows across its diagonal. In this tool, you can enter a separator between elements and between rows. In addition, you can choose an option that will give your matrix a beautiful appearance. Mathabulous!

Matrix transposer examples
Click to use

Transpose a Tiny Matrix

This example transposes a 3 by 3 matrix. Its swaps columns with rows and rows with columns.

9 8 7
6 5 4
3 2 1

9 6 3
8 5 2
7 4 1

**Required options**

Input matrix element separator.
(Space by default.)

Input matrix row separator.
(Newline by default.)

Output matrix element separator.
(Space by default.)

Output matrix row separator.
(Newline by default.)

Transpose an 8x8 Matrix

This example transposes a matrix of 8x8 size and enables column beautify option so that everything is neatly aligned and looks nice.

1 23 54 86 78 8 2 56
43 6 24 7 8 34 77 45
5 34 57 9 3 23 5 7
2 45 8 89 5 22 5 78
3 4 56 75 78 2 44 1
12 34 6 7 77 3 43 1
12 45 55 33 67 89 3 2
27 78 94 9 4 8 2 13

1 43 5 2 3 12 12 27
23 6 34 45 4 34 45 78
54 24 57 8 56 6 55 94
86 7 9 89 75 7 33 9
78 8 3 5 78 77 67 4
8 34 23 22 2 3 89 8
2 77 5 5 44 43 3 2
56 45 7 78 1 1 2 13

**Required options**

Input matrix element separator.
(Space by default.)

Input matrix row separator.
(Newline by default.)

Output matrix element separator.
(Space by default.)

Output matrix row separator.
(Newline by default.)

Nicely align all matrix elements.

Transposition of a Matrix with Letters

This example transposes a matrix with alphabetic variables and sets the vertical line separator between the rows.

d a b
9 0 c
1 d 8
a o 5
2 g h

d 9 1 a 2 | a 0 d o g | b c 8 5 h

**Required options**

Input matrix element separator.
(Space by default.)

Input matrix row separator.
(Newline by default.)

Output matrix element separator.
(Space by default.)

Output matrix row separator.
(Newline by default.)

Nicely align all matrix elements.

Transpose a Rectangular Matrix

This example transposes a non-square matrix of dimensions 5x3 and sets a comma delimiter between elements.

233, 4, 768, 1, 0, 2
4, 788, 76, 899, 4, 3
1, 55, 111, 3, 5, 77

233, 4, 1
4, 788, 55
768, 76, 111
1, 899, 3
0, 4, 5
2, 3, 77

**Required options**

Input matrix element separator.
(Space by default.)

Input matrix row separator.
(Newline by default.)

Output matrix element separator.
(Space by default.)

Output matrix row separator.
(Newline by default.)

Nicely align all matrix elements.

Pro tips
Master online math 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://onlinemathtools.com/transpose-matrix

__?input__=9%208%207%0A6%205%204%0A3%202%201&input-element-separator=%20&input-row-separator=%5Cn&output-element-separator=%20&output-row-separator=%5Cn
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