Mathematica: solving an equation over a set

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SUMMARY

The discussion focuses on solving a linear equation over a set of matrices with symbolic entries in Mathematica. The user initially attempted to use the Solve function with Assumptions but encountered difficulties. Suggestions included using the Reduce function with specific equations and assumptions, as well as the SolveAlways function for broader applicability. Providing detailed examples is essential for accurate assistance in such complex scenarios.

PREREQUISITES
  • Familiarity with Mathematica 12.0 syntax and functions
  • Understanding of symbolic computation and matrix theory
  • Knowledge of linear equations and their properties
  • Experience with assumptions in mathematical problem-solving
NEXT STEPS
  • Explore the use of Reduce in Mathematica for solving equations with assumptions
  • Learn about the SolveAlways function and its applications in symbolic computation
  • Investigate the properties of matrices with symbolic entries in Mathematica
  • Review examples of solving linear equations in Mathematica with complex constraints
USEFUL FOR

This discussion is beneficial for mathematicians, researchers, and students working with symbolic computation in Mathematica, particularly those dealing with linear equations and matrix analysis.

OB1
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I have a set of elements (matrices with symbolic entries and certain special properties) which I constructed in mathematica. I would like to identify the matrices in this (finite but large) set which solve a certain linear equation. I've tried to use Solve in conjunction with Assumptions but was unsuccessful. Does anyone have any advice on this?
Thanks in advance.
 
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Maybe Reduce[equations&&assumptions, Domain, variables] ??
Sometimes SolveAlways[] is also useful.
But unless you post some details or a similar example, it's quite hard to be sure.
 

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