Mathematica Mathematica: solving an equation over a set

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The discussion centers on identifying specific matrices with symbolic entries that satisfy a linear equation using Mathematica. The original poster has struggled with the Solve function and Assumptions. Suggestions include using the Reduce function with specified equations and assumptions, as well as considering SolveAlways for broader cases. However, participants emphasize the need for more details or examples to provide tailored advice, indicating that the complexity of the problem requires additional context for effective solutions.
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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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