Part: a:Vertices of a parallelogram on a computer screen are given by the coordinates (3, 0), (6, 0), (4, 2) & (7, 2). If this parallelogram is being transformed in given orderx-scaling by factor 1/3 and y-scaling by factor 1/2Translation of (1, -3)Clockwise rotation of 300 Write 3*3 matrices for each transformation. Representing the above parallelogram in form of data matrix, apply these transformations one by oneand drawthe parallelogram at each stepFind a single matrix for the composite transformation for above three transformations. Apply it to theparallelogram(data matrix)and draw it. Is it same with the one obtained in part i at last step. Linear Transformation and Applications:Question # 3:Part: a:Vertices of a parallelogram on a computer screen are given by the coordinates (3, 0),(6, 0), (4, 2) & (7, 2). If this parallelogram is being transformed in given order1. x-scaling by factor 1/3 and y-scaling by factor 1/22. Translation of (1, -3)3. Clockwise rotation of 30°i. Write 3*3 matrices for each transformation. Representing the above parallelogram inform of data matrix, apply these transformations one by oneand drawtheparallelogram at each stepii. Find a single matrix for the composite transformation for above three transformations.Apply it to theparallelogram(data matrix)and draw it. Is it same with the oneobtained in part į at last step.Note: Deal all calculations with data matrix, not directly on the parallelogram.

Given That : Vertices of a parallelogram are (3,0),(6,0),(4,2),(7,2) To Find: Transform the…

Answered: Part: a:Vertices of a parallelogram on…

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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Part: a:Vertices of a parallelogram on a computer screen are given by the coordinates (3, 0), (6, 0), (4, 2) & (7, 2). If this parallelogram is being transformed in given order

x-scaling by factor 1/3 and y-scaling by factor 1/2
Translation of (1, -3)
Clockwise rotation of 30⁰
Write 3*3 matrices for each transformation. Representing the above parallelogram in form of data matrix, apply these transformations one by oneand drawthe parallelogram at each step
Find a single matrix for the composite transformation for above three transformations. Apply it to theparallelogram(data matrix)and draw it. Is it same with the one obtained in part i at last step.

Linear Transformation and Applications:
Question # 3:
Part: a:Vertices of a parallelogram on a computer screen are given by the coordinates (3, 0),
(6, 0), (4, 2) & (7, 2). If this parallelogram is being transformed in given order
1. x-scaling by factor 1/3 and y-scaling by factor 1/2
2. Translation of (1, -3)
3. Clockwise rotation of 30°
i. Write 3*3 matrices for each transformation. Representing the above parallelogram in
form of data matrix, apply these transformations one by oneand drawthe
parallelogram at each step
ii. Find a single matrix for the composite transformation for above three transformations.
Apply it to theparallelogram(data matrix)and draw it. Is it same with the one
obtained in part į at last step.
Note: Deal all calculations with data matrix, not directly on the parallelogram.

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