Orthogonal and symmetric maps: Orthogonal maps
The notion of orthogonal map
Let #L:\mathbb{R}^2\to \mathbb{R}^2# be an orthogonal map with determinant #1# satisfying
\[L(\rv{1,0} ) =\dfrac{1}{13}\,\rv{-12,5}\] Determine the image under #L# of the second standard basis vector.
\[L(\rv{1,0} ) =\dfrac{1}{13}\,\rv{-12,5}\] Determine the image under #L# of the second standard basis vector.
| \(L(\rv{0,1} ) =\) |
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