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content/notes/terminology.md
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- math202
---
**rank: ** the number of dimensions in the output of a transformation
**rank:** the number of dimensions in the output of a transformation *or* the number of dimensions in the columce space
**column space:** the set of all possible outputs Av is the column space of A
**full rank:** When the rank equals the number of columns
**null space/kernel:** the space of all vectors that become null following a transformation