Suppose that vertices of a hut-shaped triangle on a computer screen are given by the coordinates (1, 0), (5. 0). (5, 3), (3. 5) & (1, 3). Transform this hut in following order 1. Reflect it along x-axis 2. Rotate it 180° counterclockwise i. Write 2*2 matrices for each transformation. Representing the above hut-shaped in form of data matrix, apply these transformations one by one and draw it at each step Find a single matrix of the composite transformation which performs both transformations at once. Apply it to the hut and draw it. It should be the same with the one obtained in part i. ii.
Suppose that vertices of a hut-shaped triangle on a computer screen are given by the coordinates (1, 0), (5. 0). (5, 3), (3. 5) & (1, 3). Transform this hut in following order 1. Reflect it along x-axis 2. Rotate it 180° counterclockwise i. Write 2*2 matrices for each transformation. Representing the above hut-shaped in form of data matrix, apply these transformations one by one and draw it at each step Find a single matrix of the composite transformation which performs both transformations at once. Apply it to the hut and draw it. It should be the same with the one obtained in part i. ii.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Suppose that vertices of a hut-shaped triangle on a computer screen are given by the coordinates (1, 0), (5,
0). (5, 3). (3, 5) & (1, 3). Transform this hut in following order
1. Reflect it along x-axis
2. Rotate it 180° counterclockwise
i.
Write 2*2 matrices for each transformation. Representing the above hut-shaped in form of data
matrix, apply these transformations one by one and draw it at each step
Find a single matrix of the composite transformation which performs both transformations at
once. Apply it to the hut and draw it. It should be the same with the one obtained in part i.
ii.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd695a545-e62b-4c0e-9f8a-94327fa9e59d%2F93eae43e-0cad-476e-830c-45e7bd2d389a%2Fy2ut54r_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Suppose that vertices of a hut-shaped triangle on a computer screen are given by the coordinates (1, 0), (5,
0). (5, 3). (3, 5) & (1, 3). Transform this hut in following order
1. Reflect it along x-axis
2. Rotate it 180° counterclockwise
i.
Write 2*2 matrices for each transformation. Representing the above hut-shaped in form of data
matrix, apply these transformations one by one and draw it at each step
Find a single matrix of the composite transformation which performs both transformations at
once. Apply it to the hut and draw it. It should be the same with the one obtained in part i.
ii.
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