Manuals/calci/MATRIXMOD

MATRIXMOD (a,b,ConsiderUnits)

• $a$ and $b$ are any two matrices.

Description

• This function gives the remainder of the number after dividing each entries of two matrices.
• In $MATRIXMOD(a,b)$,$a$ and $b$ are two matrices.
• 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.
• When we divide two integers we will get the result as :X/Y=Q with remainder R.
• Here X is the dividend, Y is the divisor, Q is the Quotient and R is the remainder.
• So MOD(n,d)=R.So here each entries in the first matrix is divided by the second matrix and it is displaying only the remainder value.
• Also the dimension of the both matrices should be the same.
• Suppose the entries either row or column are more in the first matrix compared with the second matrix then those extra entries will display as NaN.
• Suppose the entries are more in the second matrix compared with the first matrix then those extra entries will be ignored.

Examples

1. MATRIXMOD([[12,25],[30,83]],[[3,4],[7,8]])

0	1
2	3

2. MATRIXMOD([[14,13,19],[23,26,78]],[[3,8,5],[6,14,10]])

2	5	4
5	12	8

See Also

• MATRIXDIVIDE
• MATRIXOPERATORS
• MATRIXMULTIPLY

References

Mod

• List of Main Z Functions
• Z3 home