Recall (probably from) that several reflection transformations are possible on t
ID: 3111312 • Letter: R
Question
Recall (probably from) that several reflection transformations are possible on the two-dimensional coordinate system. These transformations can also be multiplying a vector by a 2 times 2 matrix. In particular (1 0 0 -1)(x y) reflects (x y) across the x-axis (-1 0 0 1) (x y) reflects (x y) across the y-axis Which of the following multiplications would you need to use to reflect (x y) across the origin? (0 -1 -1 0)(x y) (-1 0 0 -1)(x y) (0 1 1 0)(x y) (1 0 0 1)(x y) consider the 3 times 3 matrices A = (2 0 1 -5 3 2 1 -2 -4) B = (2 3 -5 4 -7 0 8 9 2) C = (1 2 4 0 -1 1 2 3 8)Explanation / Answer
Since if we reflect any point across origin then its image is exactly the negative of the point being reflected .
As for now (x,y) is to be relflected , so its image after reflection is (-x,-y) .
Now when we consider the matrices options given , after multiplication the second option gives the reflection of (x,y)
Hence (B) is the correct answer
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