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Using 2x2 Matrices for Plane Transformations Practice Test
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Q1
First rotate points $90^\circ$ counterclockwise using $$R=\begin{pmatrix}0&-1\1&0\end{pmatrix},$$ then reflect across the $x$-axis using $$F=\begin{pmatrix}1&0\0&-1\end{pmatrix}.$$ What is the combined transformation matrix (apply $R$ first, then $F$)?
First rotate points $90^\circ$ counterclockwise using $$R=\begin{pmatrix}0&-1\1&0\end{pmatrix},$$ then reflect across the $x$-axis using $$F=\begin{pmatrix}1&0\0&-1\end{pmatrix}.$$ What is the combined transformation matrix (apply $R$ first, then $F$)?