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Geometry - Reflection.
f(v) = (the matrix)
|cosx sinx |
|sinx -cosx |(v)
If x is in R and f: R^2 --> R^2
show that f is a reflection in a line L through the origin, and find the line of reflection.
im having trouble figureing this out, i know that i need to find a line L fixed by f, and then to compare the formulas for the reflection --> RL and f.
i just dont know what to do. Thank you.
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