Find the matrix A of the linear transformation T from R2 to R2 that rotates any vector through an angle of 45∘ in the counterclockwise direction.

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 17CM
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Find the matrix A of the linear transformation T from R2 to R2 that rotates any vector through an angle of 45∘ in the counterclockwise direction.

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