To find: the coordinate of the rotated square using matrices and graph the pre image and image on same coordinate.
Answer to Problem 23E
The vertices of the image are
Explanation of Solution
Given:
A square with vertices:
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 square with vertices:
First write the vertex matrix as:
Counter clockwise rotated
Multiply by the vertex matrix.
The graph of the two square is:
Hence, vertices of the image are
Chapter 2 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
Additional Math Textbook Solutions
Thomas' Calculus: Early Transcendentals (14th Edition)
University Calculus: Early Transcendentals (4th Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus and Its Applications (11th Edition)
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning