Which sequence of transformations takes AA to its image, AB ?

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.1: Introduction To Linear Transformations
Problem 48E: For the linear transformation T:R2R2 given by A=[abba] find a and b such that T(12,5)=(13,0).
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Which sequence of transformations takes AA to its image, AB ?
y
10
6-
8
-7
A
-5
4
B
-10-9-8-7
-6-5
-4-3-2 -1 0
1 2 3 4 56
789 10
-2
-3
-4
-5
-7
-8
A reflection over the x -axis and translation 2 units down
B reflection over the y -axis and translation 2 units down
c translation 2 units down and 90° rotation about the origin
D translation 12 units right and 90° rotation about the origin
esc
80
F1
F2
F3
F4
F5
F6
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Transcribed Image Text:Which sequence of transformations takes AA to its image, AB ? y 10 6- 8 -7 A -5 4 B -10-9-8-7 -6-5 -4-3-2 -1 0 1 2 3 4 56 789 10 -2 -3 -4 -5 -7 -8 A reflection over the x -axis and translation 2 units down B reflection over the y -axis and translation 2 units down c translation 2 units down and 90° rotation about the origin D translation 12 units right and 90° rotation about the origin esc 80 F1 F2 F3 F4 F5 F6 @ %23 $ % &
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