To find: the coordinate of the rotated pentagon using matrices and graph the pre image and image on same coordinate.
Answer to Problem 24E
Explanation of Solution
Given:
A pentagon
Concept used:
The image of linear transformation or matrix is the span of the
It can be written as
For example, consider the matrix
Multiplying this by
Result is not image of
Matrices multiplication:
Calculation:
A pentagon
First write the vertex matrix as:
Counter clockwise rotated
Then multiply it by vertex matrix as:
The vertices of the image are:
Hence,
Chapter 2 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
Additional Math Textbook Solutions
Thomas' Calculus: Early Transcendentals (14th Edition)
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Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
University Calculus: Early Transcendentals (4th Edition)
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University Calculus: Early Transcendentals (3rd Edition)
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