→>PROBLEM 2.2.2 A linear map L: R²in the formR² a rotation if its associated matrix can be writtenR(0) =[cos 0 -sin 0sin19].cosLet (1,2) be a point of R². Let R be the rotation through an angle of /4. What are thecoordinates of R(1,2) relative to the usual basis {(1,0), (0, 1)}.

A linear map L:ℝ2→ℝ2 a rotation of the associated matrix, Rθ=cosθ-sinθsinθcosθ To find the image of…

Answered: PROBLEM 2.2.2 A linear map L: R² R² a…

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Linear Transformations

Section6.3: Matrices For Linear Transformations

Problem 44E: Let T:P2P4 be the linear transformation T(p)=x2p. Find the matrix for T relative to the bases...

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PROBLEM 2.2.2 A linear map L: R² R² a rotation if its associated matrix can be written in the form [cos-sin 0] sin cos 9]. R(0) = Let (1,2) be a point of R². Let R be the rotation through an angle of /4. What are the coordinates of R(1,2) relative to the usual basis {(1,0), (0, 1)}.