Manuals/calci/MATRIXADD

MATRIXADD (a,b,afactor,bfactor)

Description

This function calculates the addition of the two matrices.
In $MATRIXADD(a,b,afactor,bfactor)$ , $a$ and $b$ are two matrices.
$afactor$ is the multiplying value with $a$ and $bfactor$ is the multiplying value with $b$ .
Matrix addition is the basic operation of adding two matrices with the corresponding entries.
Two matrices must have an equal number of rows and columns.
The sum of matrices A and B is denoted by $A+B={\begin{bmatrix}a_{11}&a_{12}&\cdots &a_{1n}\\a_{21}&a_{22}&\cdots &a_{2n}\\\vdots &\ddots &\vdots \\a_{m1}&a_{m2}&\cdots &a_{mn}\end{bmatrix}}+{\begin{bmatrix}b_{11}&b_{12}&\cdots &b_{1n}\\b_{21}&b_{22}&\cdots &b_{2n}\\\vdots &\ddots &\vdots \\b_{m1}&b_{m2}&\cdots &b_{mn}\end{bmatrix}}={\begin{bmatrix}a_{11}+b_{11}&a_{12}+b_{12}&\cdots &a_{1n}+b_{1n}\\a_{21}+b_{21}&a_{22}+b_{22}&\cdots &a_{2n}+b_{2n}\\\vdots &\ddots &\vdots \\a_{m1}+b_{m1}&a_{m2}+b_{m2}&\cdots &a_{mn}+b_{mn}\end{bmatrix}}$
Here $afactor$ constant value is multiplied with each values in matrix A and $bfactor$ constant value is multiplied with each values in matrix B.
Then it is doing the matrix addition with all the corresponding entries.
If the factor values are not given then it is doing usual matrix addition with the factor values as 1.