Is there an easy way to tell by looking at a circuit if the supermesh you choose will result in a singular matrix?

 

It would be easy for step by step solution of mesh or super mesh circuit analysis..if you provide a circuit in the post...
but, here you can go for a simple supermesh circuit analysis. (step by step with solved example)

 

Is there an easy way to tell by looking at a circuit if the supermesh you choose will result in a singular matrix?

Could you post an example so that we have something specific to discuss?