Search for a tool
Rank of a Matrix

Tool to calculate the rank of a Matrix. In mathematics, The rank of a matrix M is the number of linearly independent rows or columns.

Results

Rank of a Matrix -

Tag(s) : Matrix

Share
Share
dCode and more

dCode is free and its tools are a valuable help in games, maths, geocaching, puzzles and problems to solve every day!
A suggestion ? a feedback ? a bug ? an idea ? Write to dCode!


Please, check our dCode Discord community for help requests!
NB: for encrypted messages, test our automatic cipher identifier!


Thanks to your feedback and relevant comments, dCode has developed the best 'Rank of a Matrix' tool, so feel free to write! Thank you!

Rank of a Matrix

Matrix Rank Calculator

Loading...
(if this message do not disappear, try to refresh this page)

Modular Rank of a Matrix

The modulus is only applicable to integer matrices, with N a prime number


Answers to Questions (FAQ)

What is the matrix rank? (Definition)

The rank of a matrix (sometimes noted as Rk) is mainly defined as the maximum number of row vectors (or column vectors) which are linearly independent.

The rank of a matrix is also the dimension of the vector subspace created by the vectors (either rows or columns) of the matrix.

The rank can be calculated for both rows and columns, it will be the same value.

How to calculate a matrix rank?

To calculate the rank of a $ M $ matrix, compare each of the rows between them and each of the columns between them to verify that they are two-by-two linearly independent.

Example: $$ M = \begin{bmatrix} 1 & 2 & 3 \\ 2 & 4 & 6 \\ 2 & 2 & 4 \end{bmatrix} $$ The matrix $ M $ has rank $ 2 $ because line 2 is twice the line 1, they are not linearly independent.
NB: column 3 is the sum of columns 1 and 2, they are not linearly independent.

Source code

dCode retains ownership of the online 'Rank of a Matrix' tool source code. Except explicit open source licence (indicated CC / Creative Commons / free), any 'Rank of a Matrix' algorithm, applet or snippet (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, translator), or any 'Rank of a Matrix' function (calculate, convert, solve, decrypt / encrypt, decipher / cipher, decode / encode, translate) written in any informatic language (Python, Java, PHP, C#, Javascript, Matlab, etc.) and no data download, script, copy-paste, or API access for 'Rank of a Matrix' will be for free, same for offline use on PC, tablet, iPhone or Android ! dCode is free and online.

Need Help ?

Please, check our dCode Discord community for help requests!
NB: for encrypted messages, test our automatic cipher identifier!

Questions / Comments

Thanks to your feedback and relevant comments, dCode has developed the best 'Rank of a Matrix' tool, so feel free to write! Thank you!


Source : https://www.dcode.fr/matrix-rank
© 2021 dCode — The ultimate 'toolkit' to solve every games / riddles / geocaching / CTF.
Feedback