Tool to calculate matrix subtraction in algebra. The matrix subtraction is similar to the addition, it is obtained by subtracting the elements of each matrix.

dCode is free and its tools are a valuable help in games, puzzles and problems to solve every day! You have a problem, an idea for a project, a specific need and dCode can not (yet) help you? You need custom development? Contact-me!

Tool to calculate matrix subtraction in algebra. The matrix subtraction is similar to the addition, it is obtained by subtracting the elements of each matrix.

Answers to Questions

What is a matrix subtraction? (Definition)

\( M_1=[a_{ij}] \) is a matrix of \( m \) lines and \( n \) columns (with \( m = n \) in the case of a square matrix) and \( M_2=[b_{ij}] \) is another matrix of \( m \) lines and \( n \) columns.

The subtraction of these 2 matrices \( M_1 - M_2 = [c_{ij}] \) is an unchanged size matrix with \( m \) lines and \( n \) columns, such as : $$ \forall i, j : c_{ij} = a_{ij}-b_{ij} $$

How to subtract 2 matrices?

Subtracting matrices is only possible with 2 matrices of the same shape. The calculation consists in subtracting the elements in the same position in each matrix.

The subtraction operation (or addition) of matrices is only defined with identical shapes matrices. Another operation called direct sum allows the use of matrices of different sizes and can be generalized to subtraction.

Ask a new question

Source code

dCode retains ownership of the source code of the script Matrix Subtraction online. Except explicit open source licence (indicated Creative Commons / free), any algorithm, applet, snippet, software (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, translator), or any function (convert, solve, decrypt, encrypt, decipher, cipher, decode, code, translate) written in any informatic langauge (PHP, Java, C#, Python, Javascript, Matlab, etc.) which dCode owns rights will not be given for free. So if you need to download the online Matrix Subtraction script for offline use, check contact page !