Rank and codimension: Difference between revisions
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All three of rank, nullity, and dimensionality are types of dimension: | All three of rank, nullity, and dimensionality are types of dimension: | ||
* Rank is the dimension of the image (or range). | * Rank is the dimension of the [[image]] (or range). | ||
* Nullity is the dimension of the null-space (or kernel). | * Nullity is the dimension of the [[null-space]] (or kernel). | ||
* Dimensionality is the dimension of the (sub)group (or domain). It is a bit confusing that, unlike the other two, "dimensionality" actually contains the word "dimension". | * Dimensionality is the dimension of the (sub)group (or domain). It is a bit confusing that, unlike the other two, "dimensionality" actually contains the word "dimension". | ||