eggy/eifueo
1
1
Fork 1
Code Issues 2 Pull Requests Releases Wiki Activity

math115: fix col space definition

Browse Source
This commit is contained in:
eggy 2022-11-18 18:09:39 -05:00
parent a0045ad71a
commit 231fca07b8
1 changed files with 1 additions and 1 deletions
Show Stats Download Patch File Download Diff File Expand all files Collapse all files

2
docs/ce1/math115.md
View File

@ -654,7 +654,7 @@ $$\text{Null}(A) = \{\vec x\in\mathbb R^n | A\vec x = \vec 0\}$$
Its dimension is equal to the number of free vectors in RREF. Its dimension is equal to the number of free vectors in RREF.
The **column space** of a matrix is the set of all linear combinations of its columns, which can be found by taking a linearly independent subset of the matrix (non-free vectors in RREF). The **column space** of a matrix is the set of all linear combinations of its columns, which can be found by taking a linearly independent subset of the matrix (the **original vectors** of the non-free vectors in RREF).
$$\text{Col}(A) = \{A\vec x |\vec x\in\mathbb R^n \} = \text{Span}\{\vec a_1, \vec a_2, ..., \vec a_n\}$$ $$\text{Col}(A) = \{A\vec x |\vec x\in\mathbb R^n \} = \text{Span}\{\vec a_1, \vec a_2, ..., \vec a_n\}$$