Manuals/calci/MATRIXADD
MATRIXADD (a,b,afactor,bfactor)
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle a } and Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle b} are any two matrices.
Description
- This function calculates the addition of the two matrices.
- In Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle MATRIXADD (a,b,afactor,bfactor)} ,Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle a} and Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle b} are two matrices.
- is the multiplying value with Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle a} and Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle bfactor} is the multiplying value with Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 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 Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 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 <matrix>afactor</math> constant value is multiplied with each values in matrix A and Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 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.
Examples
1. MATRIXADD([[10,14,17],[6,-3,-5],[21,-34,76]],[[22,25,33],[-17,19,20],[26,35,-21]])
| 32 | 39 | 50 |
| -11 | 16 | 15 |
| 47 | 1 | 55 |
2. MATRIXADD([[4,5,10],[-12,34,31]],[[17,18,27],[29,-24,31]])
| 21 | 23 | 37 |
| 17 | 10 | 62 |
3. MATRIXADD([[6,7],[10,-12]],[[3.2,4],[5,15]],6,8)
| 61.6 | 74 |
| 100 | 48 |
See Also
References