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Remove incorrect dot notation #48

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Remove incorrect dot notation #48

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2 changes: 1 addition & 1 deletion lecture03/lecture03.tex
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Expand Up @@ -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.

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