Manuals/calci/MATRIXDIVIDE

MATRIXDIVIDE (a,b,ConsiderUnits)

• $a$ and $b$ are any two matrices.

Description

• This function shows the division value of the given two matrices for each corresponding entries.
• In $MATRIXDIVIDE(a,b,ConsiderUnits)$, $a$ and $b$ 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 $A/B={\begin{bmatrix}a_{11}&a_{12}&\cdots &a_{1n}\\a_{21}&a_{22}&\cdots &a_{2n}\\\vdots &\ddots &\vdots \\a_{m1}&a_{m2}&\cdots &a_{mn}\end{bmatrix}}/{\begin{bmatrix}b_{11}&b_{12}&\cdots &b_{1n}\\b_{21}&b_{22}&\cdots &b_{2n}\\\vdots &\ddots &\vdots \\b_{m1}&b_{m2}&\cdots &b_{mn}\end{bmatrix}}={\begin{bmatrix}a_{11}/b_{11}&a_{12}/b_{12}&\cdots &a_{1n}/b_{1n}\\a_{21}/b_{21}&a_{22}/b_{22}&\cdots &a_{2n}/b_{2n}\\\vdots &\ddots &\vdots \\a_{m1}/b_{m1}&a_{m2}/b_{m2}&\cdots &a_{mn}/b_{mn}\end{bmatrix}}$

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

References

• Matrix Division

• List of Main Z Functions
• Z3 home