I am wondering how to organise all of those concepts in my head.(adsbygoogle = window.adsbygoogle || []).push({});

should i think of it like:

subspace > vectorspace > nullspace, columnspace

kind of like columnspaces and nullspaces are valid vectorspaces, and all of those are valid subspaces. is a vector space a columnspace? except its definition depends on vectors?

also I realised recently that the nullspace of say Ax=0 could be defined in lower dimensions then the columnspace of matrix A. does that mean that those are completely unrelated concepts, except for coming from the same place?

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# Subspace, vectorspace, nullspace, columnspace

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