Identify the matrix that represents each linear transformation below. Write A, B, C, D, D or F. ^ - ( ²0 ) = -(¯3² • 2)-C-( -√2/2 √2/12) D= 0 2 -20 , E= 0-2 20 and F= √212-√212 √212 √212 1. Clockwise rotation by an angle of 45° is associated to matrix 2. Counterclockwise rotation by an angle of 45° is associated to matrix 3. Clockwise rotation by an angle of 90° is associated to matrix 4. Counterclockwise rotation by an angle of 900 is associated to matrix 5. A dilation by a factor of 2 is associated to matrix 6. Reflexion about the origin and a dilation by a factor of 2 is associated to matrix Hint: Draw a vector and its image under each transformation.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 25RE
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Identify the matrix that represents each linear transformation below. Write A, B, C, D, D or F.
20
-2 0
A =
B=
=
02
0
-√212 √212
(39),
^ - (² :) " - ( - ² - 2).C-( √²/2 √212)
P-(-03). E-(0-²).
2
D=
E=
20
and F=
√212-√212
√212 √212
1. Clockwise rotation by an angle of 450 is associated to matrix
2. Counterclockwise rotation by an angle of 45° is associated to matrix
3. Clockwise rotation by an angle of 90° is associated to matrix
4. Counterclockwise rotation by an angle of 900 is associated to matrix
5. A dilation by a factor of 2 is associated to matrix
6. Reflexion about the origin and a dilation by a factor of 2 is associated to matrix
Hint: Draw a vector and its image under each transformation.
Transcribed Image Text:Identify the matrix that represents each linear transformation below. Write A, B, C, D, D or F. 20 -2 0 A = B= = 02 0 -√212 √212 (39), ^ - (² :) " - ( - ² - 2).C-( √²/2 √212) P-(-03). E-(0-²). 2 D= E= 20 and F= √212-√212 √212 √212 1. Clockwise rotation by an angle of 450 is associated to matrix 2. Counterclockwise rotation by an angle of 45° is associated to matrix 3. Clockwise rotation by an angle of 90° is associated to matrix 4. Counterclockwise rotation by an angle of 900 is associated to matrix 5. A dilation by a factor of 2 is associated to matrix 6. Reflexion about the origin and a dilation by a factor of 2 is associated to matrix Hint: Draw a vector and its image under each transformation.
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