The definition of a regular point is as follows :

enter image description here

If instead of having multiple constraints there is only one, we would have

$$ D\;h(x) = \nabla h_1(x)^T $$

Would all points then be regular for this vector? As there is only one?

  • $\begingroup$ A single vector can be linearly dependent if that vector is the zero vector. So you have to watch out for that case. $\endgroup$ – David M. Apr 30 at 23:40
  • $\begingroup$ Also it’s not your work, but I think that $0$ in the last line of the image should be an $m$. $\endgroup$ – David M. Apr 30 at 23:42

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