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I have a over constrained least squares problem. I also have the correct solution to the problem. Now I need to determine which of the vectors are contributing how much information that is close to the correct solution. I am sure there should be some methodology for this analysis, but I dont know. Maybe I can do a eigen decomposition to find which all vectors are unique? But would that say anything to if these vectors are helping me find the solution closer to the correct solution? I would be grateful if someone can give me some intuition into this problem.

Thanks,

Benzun