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    If L is a line in \mathbb{R}^2 that passes through the origin at an angle \alpha to the x-axis, then reflection in this line is a linear transformation of \mathbb{R}^2. What is the 2x2 matrix that corresponds to this linear transformation?
    I'd appreciate any help. Thank you.
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    Anyone? :sad:
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    Shameless bump. :cry2:
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    It is a linear transformation. Draw a picture, and figure out where (0,1) and (1,0) go after they are reflected. Then what is your matrix?
 
 
 
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Updated: March 25, 2011
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