Question 2: The linear transformation R : R* + R* is the rotation about the vector (0 1 oj" with the angle according to the right hand rule. The linear transformation 3 S : R' + R is a reflection of the plane x – y + z = 0. Let T = So R. a) Determine the standard matrix for T. b) Determine the null space for T. What dimension does it have? Explain. c) Determine the Image space for T. What dimension does it have? Explain.
Question 2: The linear transformation R : R* + R* is the rotation about the vector (0 1 oj" with the angle according to the right hand rule. The linear transformation 3 S : R' + R is a reflection of the plane x – y + z = 0. Let T = So R. a) Determine the standard matrix for T. b) Determine the null space for T. What dimension does it have? Explain. c) Determine the Image space for T. What dimension does it have? Explain.
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 12CM
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