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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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Input Matrix Options
Input matrix element separator. (Space by default.)
Input matrix row separator. (Newline by default.)
Transposed Matrix Options
Output matrix element separator. (Space by default.)
Output matrix row separator. (Newline by default.)
Matrix Appearance
Nicely align all matrix elements.
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
These options will be used automatically if you select this example.
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
These options will be used automatically if you select this example.
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
These options will be used automatically if you select this example.
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
These options will be used automatically if you select this example.
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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