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A rotation on a computer screen is sometimes implemented

Linear Algebra and Its Applications | 5th Edition | ISBN: 9780321982384 | Authors: David C. Lay; Steven R. Lay; Judi J. McDonald ISBN: 9780321982384 49

Solution for problem 11E Chapter 2.7

Linear Algebra and Its Applications | 5th Edition

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Linear Algebra and Its Applications | 5th Edition | ISBN: 9780321982384 | Authors: David C. Lay; Steven R. Lay; Judi J. McDonald

Linear Algebra and Its Applications | 5th Edition

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Problem 11E

Problem 11E

A rotation on a computer screen is sometimes implemented as the product of two shear-and-scale transformations, which can speed up calculations that determine how a graphic image actually appears in terms of screen pixels. (The screen consists of rows and columns of small dots, called pixels.) The first transformation A1 shears vertically and then compresses each column of pixels; the second transformation A2 shears horizontally and then stretches each row of pixels. Let

and show that the composition of the two transformations is

a rotation in

Step-by-Step Solution:

Solution

Step 1

In the Question it is given that A rotation on a computer screen is sometimes implemented as the product of two shear-and-scale transformations, which can speed up calculations that determine how a graphic image actually appears in terms of screen pixels. (The screen consists of rows and columns of small dots, called pixels.) The first transformation A1 shears vertically and then compresses each column of pixels; the second transformation A2 shears horizontally and then stretches each row of pixels. Let

and show that the composition of the two transformations is

a rotation in

Step 2 of 3

Chapter 2.7, Problem 11E is Solved
Step 3 of 3

Textbook: Linear Algebra and Its Applications
Edition: 5
Author: David C. Lay; Steven R. Lay; Judi J. McDonald
ISBN: 9780321982384

This full solution covers the following key subjects: transformations, pixels, Screen, shears, Transformation. This expansive textbook survival guide covers 65 chapters, and 1898 solutions. The answer to “A rotation on a computer screen is sometimes implemented as the product of two shear-and-scale transformations, which can speed up calculations that determine how a graphic image actually appears in terms of screen pixels. (The screen consists of rows and columns of small dots, called pixels.) The first transformation A1 shears vertically and then compresses each column of pixels; the second transformation A2 shears horizontally and then stretches each row of pixels. Let and show that the composition of the two transformations isa rotation in” is broken down into a number of easy to follow steps, and 85 words. Linear Algebra and Its Applications was written by and is associated to the ISBN: 9780321982384. This textbook survival guide was created for the textbook: Linear Algebra and Its Applications , edition: 5. The full step-by-step solution to problem: 11E from chapter: 2.7 was answered by , our top Math solution expert on 07/20/17, 03:54AM. Since the solution to 11E from 2.7 chapter was answered, more than 1069 students have viewed the full step-by-step answer.

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A rotation on a computer screen is sometimes implemented