To every linear transformation T from R² to R², there is an associated 2 x 2 matrix. Match the following linear transformations with their associated matrix. 1. Reflection about the a-axis 2. The projection onto the x-axis given by T(x,y)=(x,0) 3. Clockwise rotation by T/2 radians 4. Counter-clockwise rotation by 7/2 radians

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 39E: For the linear transformation from Exercise 33, find a T(1,1), b the preimage of (1,1), and c the...
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To every linear transformation T from R? to R², there is an associated 2 x 2 matrix. Match the following linear transformations with their associated matrix.
1. Reflection about the x-axis
2. The projection onto the x-axis given by T(x,y)=(x,0)
3. Clockwise rotation by T/2 radians
4. Counter-clockwise rotation by 7/2 radians
5. Reflection about the line y=x
6. Reflection about the y-axis
1
1
1
0 0
1
C.
0 -1
-1 0
D.
1
0 1
E.
-1
-1
F.
G. None of the above
A.
B.
Transcribed Image Text:To every linear transformation T from R? to R², there is an associated 2 x 2 matrix. Match the following linear transformations with their associated matrix. 1. Reflection about the x-axis 2. The projection onto the x-axis given by T(x,y)=(x,0) 3. Clockwise rotation by T/2 radians 4. Counter-clockwise rotation by 7/2 radians 5. Reflection about the line y=x 6. Reflection about the y-axis 1 1 1 0 0 1 C. 0 -1 -1 0 D. 1 0 1 E. -1 -1 F. G. None of the above A. B.
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