diff --git a/content/notes/terminology.md b/content/notes/terminology.md
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--- a/content/notes/terminology.md
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@@ -5,5 +5,8 @@ tags:
 - math202
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-**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
  
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