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Lonely Lemon
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Homework Statement
Write down 3x3 matrices A, B, C such that when the vectors in R2 are expressed in homogeneous coordinates, the product ABC first translates vectors by (-1, 2), then reflects them about the line y=-x and finally scales them by 2. using your matrix ABC, determine the image of the triangle with vertices (0,0), (1, 2), (2, 3).
Homework Equations
The Attempt at a Solution
I've already figured out A, B and C and the ABC matrix as [0 -2 -4; -2 0 2; 0 0 1] (each division separated by ';' being a column of the ABC matrix). But I can't figure out how I'm supposed to apply this to the vertices?
The answers are (-4, 2), (-8, 0), (-10, -2)
What should I multiply my ABC matrix by to see what happens to the vertices?