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.
• $afactor$ 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 $A+B={\begin{bmatrix}a_{11}&a_{12}&\cdots &a_{1n}\\a_{21}&a_{22}&\cdots &a_{2n}\\\vdots &\ddots &\vdots \\a_{m1}&a_{m2}&\cdots &a_{mn}\end{bmatrix}}+{\begin{bmatrix}b_{11}&b_{12}&\cdots &b_{1n}\\b_{21}&b_{22}&\cdots &b_{2n}\\\vdots &\ddots &\vdots \\b_{m1}&b_{m2}&\cdots &b_{mn}\end{bmatrix}}={\begin{bmatrix}a_{11}+b_{11}&a_{12}+b_{12}&\cdots &a_{1n}+b_{1n}\\a_{21}+b_{21}&a_{22}+b_{22}&\cdots &a_{2n}+b_{2n}\\\vdots &\ddots &\vdots \\a_{m1}+b_{m1}&a_{m2}+b_{m2}&\cdots &a_{mn}+b_{mn}\end{bmatrix}}$
• 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

• MATRIXMULTIPLY
• MATRIXOPERATORS
• MATRIXMOD

References

• Matrix addition

• List of Main Z Functions
• Z3 home