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Find the matrix of transformation that would map triangle ABC with vertices at A(-5,2), B(-3,2) and C(-3,5) onto triangle A¹B¹C¹ with vertices at A¹(-5,-2), B¹(-3,-2)...

Find the matrix of transformation that would map triangle ABC with vertices at A(-5,2), B(-3,2) and
C(-3,5) onto triangle A¹B¹C¹ with vertices at A¹(-5,-2), B¹(-3,-2) and C¹(-3,-5).

Answers

Let the matrix be a b
c d
a b -5 -3 -3 = -5 -3 -3
c d 2 2 5 -2 -2 -5
-5a + 2b = -5 -5x 1 + 3b = -5 -3 -3
-3a =2b -5 + 3b = -5
-2c = 0 b = 0
a = 1
-5c + 2d = -2 – 5 = 0 = 2d = -2
-3c + 2d = -2 2d = -2
-2c = 0 d = 1
c = 0
a b = 1 0
c d 0 -1

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Kavungya answered the question on September 20, 2019 at 06:07

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