---
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