quartz/content/notes/terminology.md
2022-07-13 08:32:57 +12:00

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---
title: "terminology"
aliases:
tags:
- math202
---
**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
**span:** a set of all linear combination of two vectors
**linear combination:** an expression constructed from a set of terms by multiplying each term by a constant and adding the results