Discussion Overview
The discussion revolves around performing matrix multiplication in Mathematica while applying a modulus operation with an integer. Participants explore various methods to achieve this, given the limitations of the built-in functions.
Discussion Character
- Technical explanation
- Debate/contested
- Mathematical reasoning
Main Points Raised
- One participant notes that the "Modulus->n" option cannot be used with the "Dot" function for matrix multiplication.
- Another participant suggests using the inverse function as a workaround, proposing the expression "Inverse[Inverse[A,Modulus->n],Modulus->n]."
- A different participant expresses confusion regarding the suggestion and clarifies the need for the product of two matrices A and B with modulus applied.
- Another suggestion is made to use "Inner," which allows specifying a multiplication operator, as an alternative to "Dot."
- A participant provides a specific code example for matrix multiplication followed by modulus operation, indicating a practical approach.
- One participant challenges the assumption that the modulus operation can be distributed over matrix multiplication, stating that "(a.b Mod m) is not equal to (a Mod m).(b Mod m)" for matrices.
Areas of Agreement / Disagreement
Participants express differing views on the methods to apply modulus in matrix multiplication, with no consensus reached on a definitive solution. Some approaches are proposed, but their effectiveness is debated.
Contextual Notes
Participants highlight limitations in the Mathematica functions available for this task, particularly regarding the application of modulus in matrix operations.
Who May Find This Useful
This discussion may be useful for Mathematica users interested in matrix operations, particularly those needing to apply modulus in their calculations.