Manuals/calci/MATRIXDIVIDE

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

Related Videos

Matrix Division

See Also

• MATRIXMULTIPLY
• MATRIXOPERATORS
• MATRIXADD

References

• Matrix Division

• List of Main Z Functions
• Z3 home