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!

This page is using the new English version of dCode, please make comments !

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

How to substract 2 matrices?

Substracting matrices is only possible with 2 matrices of the same shape.

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

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

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 Substraction. Except explicit open source licence (free / freeware), any algorithm, applet, software (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, translator), or any snippet or function (convert, solve, decrypt, encrypt, decipher, cipher, decode, code, translate) written in PHP (or Java, C#, Python, Javascript, etc.) which dCode owns rights can be transferred after sales quote. So if you need to download the Matrix Substraction script for offline use, for you, your company or association, see you on contact page !

dCode uses cookies to customize the site content, analyze user behavior and adapt dCode to your use. Some data is stored and collected for advertising purposes and may be shared with our partners. OK