From 7ea3c078baabd658819f4dafc06036a21a5148fb Mon Sep 17 00:00:00 2001 From: eggy Date: Sun, 13 Nov 2022 21:12:52 -0500 Subject: [PATCH] math115: correct row space definition --- docs/ce1/math115.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/docs/ce1/math115.md b/docs/ce1/math115.md index abc353e..88dac4c 100644 --- a/docs/ce1/math115.md +++ b/docs/ce1/math115.md @@ -660,7 +660,7 @@ $$\text{Col}(A) = \{A\vec x |\vec x\in\mathbb R^n \} = \text{Span}\{\vec a_1, \v Its dimension is equal to the rank of the matrix. -The **row space** of a matrix is the set of all linear combinations of its rows, which can be found by taking each row, excluding free vectors, from RREF. +The **row space** of a matrix is the set of all linear combinations of its rows, which can be found by taking each non-zero row from RREF. $$\text{Row}(A) = \{A^t\vec x | \vec x\in\mathbb R^n\} = \text{Span}\{\vec r_1, \vec r_2, ..., \vec r_m\}$$