4. Do the following transformations on the rectangle shown in figure below in sequence.a. Shear the rectangle about y axis by shy =2. Using Shear Matrix and Equationb. After Change the position of the rectangle by a vector(2,3).c. Perform operation i) and i) for the rectangle by finding its Composite Matrix.Y axis6.(1,4)(4,4)4(1,2)(4,2)Хаxis145. An object is in location (1,3), (1,6), (3,3) and (3,6). Do two repeated translation operationson the object with the scaling factors, (2,1) and (4,3). Write the new positions.6. An object is in location (0,0), (1,0), (0,1) and (1,1). Write the new positions after shearing theobject about x-direction. Take shear parameter along x-direction shx=4.Then applyreflection about the line x=0(the Y axis).7. Write tests performed on the vertices of polygon edges by Sutherland Hodgeman PolygonClipping algorithm. Apply Left, Right, Bottom and Top boundary clipping in the followingpolygon as is done by Sutherland Hodgeman Polygon Clipping algorithm and find thevertices of the clipped polygon.

As per rules, we will solve only first question. We have given a rectangle in figure with vertices…

4. Do the following transformations on the rectangle shown in figure below in sequence. a. Shear the rectangle about y axis by shy =2. Using Shear Matrix and Equation b. After Change the position of the rectangle by a vector(2,3). c. Perform operation i) and i) for the rectangle by finding its Composite Matrix. Y axis 5. (1,4) (4,4) 4 3. (1,2) (4,2) 1 6.

4. Do the following transformations on the rectangle shown in figure below in sequence. a. Shear the rectangle about y axis by shy =2. Using Shear Matrix and Equation b. After Change the position of the rectangle by a vector(2,3). c. Perform operation i) and i) for the rectangle by finding its Composite Matrix. Y axis 5. (1,4) (4,4) 4 3. (1,2) (4,2) 1 6.

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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Concept explainers

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.

Question

4. Do the following transformations on the rectangle shown in figure below in sequence.
a. Shear the rectangle about y axis by shy =2. Using Shear Matrix and Equation
b. After Change the position of the rectangle by a vector(2,3).
c. Perform operation i) and i) for the rectangle by finding its Composite Matrix.
Y axis
6.
(1,4)
(4,4)
4
(1,2)
(4,2)
Хаxis
1
4
5. An object is in location (1,3), (1,6), (3,3) and (3,6). Do two repeated translation operations
on the object with the scaling factors, (2,1) and (4,3). Write the new positions.
6. An object is in location (0,0), (1,0), (0,1) and (1,1). Write the new positions after shearing the
object about x-direction. Take shear parameter along x-direction shx=4.Then apply
reflection about the line x=0(the Y axis).
7. Write tests performed on the vertices of polygon edges by Sutherland Hodgeman Polygon
Clipping algorithm. Apply Left, Right, Bottom and Top boundary clipping in the following
polygon as is done by Sutherland Hodgeman Polygon Clipping algorithm and find the
vertices of the clipped polygon.

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