From b2117273163e72a0f1bd5e75d3fb4c012cb47585 Mon Sep 17 00:00:00 2001 From: Gilad Refael Date: Mon, 12 Sep 2022 19:04:11 +0300 Subject: [PATCH] Remove incorrect dot notation --- lecture03/lecture03.tex | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/lecture03/lecture03.tex b/lecture03/lecture03.tex index 6106f78..faaee8b 100644 --- a/lecture03/lecture03.tex +++ b/lecture03/lecture03.tex @@ -133,7 +133,7 @@ \subsubsection{An Application of Matrices} we have to first $P = (x, y) -> (x,y,1)$ and then $P' = (s_x x, s_y y) -> (s_x x, s_y y, 1)$ so we can then do the matrix multiplication S*P. Though, we have to note that scaling and translating is not the same as translating and scaling. In other words, $T*S*P \neq S*T*P$ -Any rotation matrix R belongs to the category of normal matrices, and it satisfies interesting properties. For example, $R \dot R^T = I$ and $det(R) = 1$ +Any rotation matrix R belongs to the category of normal matrices, and it satisfies interesting properties. For example, $R R^T = I$ and $det(R) = 1$ The rows of a rotation matrix are always mutually perpendicular (a.k.a. orthogonal) unit vectors; this is what allows for it to satisfy some of the few unique properties mentioned above.