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

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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