Determine whether or not the given linear transformation is invertible. If it is invertible, compute its inverse. (If the transformation is not invertible, enter IMPOSSIBLE. Use theta for θ.)

Tθ:R2→R2, the reflection of the plane in the line formed by the angle θ with the positive x-axis
T−1(x) = Bx where B=?

1 answer

I think you can get what you need here:

http://stackoverflow.com/questions/3306838/algorithm-for-reflecting-a-point-across-a-line
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