Project ForgeEngineering Mathematics
Linear Algebra
GATE 2019
Easy
The transformation matrix for mirroring a point in the x-y plane about the line y=x is given by
- A[[1,0],[0,-1]]
- B[[-1,0],[0,1]]
- [[0,1],[1,0]]
- D[[0,-1],[-1,0]]
Explanation
Reflecting a point (x,y) about the line y=x swaps the coordinates: (x,y)→(y,x). The matrix that does this is [[0,1],[1,0]].
Source: GATE ME 2019 Session 2 (Set 3) (2019)
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