Tool to calculate matrix additions in computer algebra. The sum of N matrices is generally obtained by summing the elements of each matrix.

Matrix Addition - dCode

Tag(s) : Matrix

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*!

Sponsored ads

Tool to calculate matrix additions in computer algebra. The sum of N matrices is generally obtained by summing the elements of each matrix.

The addition of matrices (matrix A 'plus' matrix B) can only be done with 2 matrices of the same shape/size (2x2, 2x3, 3x2, 3x3, etc.).

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

The sum of these 2 matrices \( M_1 + M_2 = [c_{ij}] \) is a matric of the same size, ie. \( m \) lines and \( n \) columns, with : $$ \forall i, j : c_{ij} = a_{ij}+b_{ij} $$

Example: $$ \begin{bmatrix} 1 & 2 \\ 3 & 4 \\ 5 & 6 \end{bmatrix} + \begin{bmatrix} 7 & 8 \\ 9 & 10 \\ 11 & 12 \end{bmatrix} = \begin{bmatrix} 1+7 & 2+8 \\ 3+9 & 4+10 \\ 5+11 & 6+12 \end{bmatrix} = \begin{bmatrix} 8 & 10 \\ 12 & 14 \\ 16 & 18 \end{bmatrix} $$

A matrix addition in Excel can be achieved by adding the elements with identical coordinates in each matrix.

The addition operation (or sum) for matrices can only be done with same size matrices (3x4, 4x3, 4x4, 5x5, etc.). Nevertheless, there is the direct sum operation, which can be used with distinct size matrices.

dCode retains ownership of the source code of the script Matrix Addition 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. To download the online Matrix Addition script for offline use on PC, iPhone or Android, ask for price quote on contact page !

addition,sum,plus,matrix,2x2,2x3,3x2,3x3,3x4,4x3,4x4,5x5

Source : https://www.dcode.fr/matrix-addition

© 2019 dCode — The ultimate 'toolkit' to solve every games / riddles / geocaches. dCode

Feedback

▲