Find the standard matrix of the linear transformations describes as Reflection around x-axis             Reflection around the origin             Rotation around the origin counterclockwise by π/4             Reflection around the line y=x

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 11CM
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Find the standard matrix of the linear transformations describes as

  1. Reflection around x-axis

 

 

 

 

 

 

  1. Reflection around the origin

 

 

 

 

 

 

  1. Rotation around the origin counterclockwise by π/4

 

 

 

 

 

 

  1. Reflection around the line y=x
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