I've been reading a few mathematical definitions and I'm still not sure I grasp their significance. If Ax = b, then what do the singular values of A represent in terms of x and b? Why are they important?(adsbygoogle = window.adsbygoogle || []).push({});

I'm not looking for a formal definition, just a conceptual description or even some rambling about what they're used for, so I can get an intuitive idea of their purpose/significance.

Thanks for any help

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# Can anyone give a common-sense explanation of singular values?

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