Manuals/calci/MATRIXDIVIDE
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MATRIXDIVIDE (a,b,ConsiderUnits)
- 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 shows the division value of the given two matrices for each corresponding entries.
- 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 MATRIXDIVIDE (a,b,ConsiderUnits)} , 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.
- Matrix division is the basic operation of dividing two matrices with the corresponding entries.
- Two matrices must have an equal number of rows and columns.
- Normally we could not do the matrix division directly.
- Instead of that we can multiply by an inverse.
- This function is taking corresponding entries and doing the division for each element.
- Division 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}}
Examples
1. MATRIXDIVIDE([[6,16],[10,-12]],[[3,4],[5,4]])
| 2 | 4 |
| 2 | -3 |
2. MATRIXDIVIDE([[32,14,15],[16,-32,76]],[[3,2,5],[-4,6,5]])
| 10.666666666666666 | 7 | 3 |
| -4 | -5.333333333333333 | 15.2 |