1. Reflection about the y-axis 2. Reflection about the x-axis 3. Reflection about the line y=x 4. Clockwise rotation by 7/2 radians 5. Counter-clockwise rotation by ¤/2 radians 6. The projection onto the x-axis given by T(x,y)=(x,0) 1 A. 0 -1 В. 1 1 C. -1 D. 1 0 1 Е. 1 0 F. 0 0 G. None of the above

1. Reflection about the y-axis 2. Reflection about the x-axis 3. Reflection about the line y=x 4. Clockwise rotation by 7/2 radians 5. Counter-clockwise rotation by ¤/2 radians 6. The projection onto the x-axis given by T(x,y)=(x,0) 1 A. 0 -1 В. 1 1 C. -1 D. 1 0 1 Е. 1 0 F. 0 0 G. None of the above

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

To every linear transformation T from R² to R², there is an associated 2×2 matrix. Match the following linear transformations with their associated matrix.

1. Reflection about the y-axis
2. Reflection about the x-axis
3. Reflection about the line y=x
4. Clockwise rotation by T/2 radians
5. Counter-clockwise rotation by T/2 radians
6. The projection onto the x-axis given by T(x,y)=(x,0)
1
А.
-1
0 -1
В.
1
1
C.
D.
1
1
1
1
F.
G. None of the above
ui

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