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Reflection Matrix (Posted on 2015-04-01) Difficulty: 3 of 5
⌈1  0⌉⌈x⌉=⌈ x⌉
⌊0 -1⌋⌊y⌋=⌊-y⌋

The above 2x2 matrix reflects a point over the x-axis. (x,y)→(x,-y).

Derive a matrix that will reflect a point over the line y=kx.

No Solution Yet Submitted by Jer    
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Puzzle Thoughts Comment 4 of 4 |
(1-k^2)/(1+k^2)     2*k/(1+k^2)]  
[2*k/(1+k^2)     (k^2-1)/(1+k^2)]  

  Posted by K Sengupta on 2023-06-15 02:03:59
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