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

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

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