a standard matrix of the linear ti

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
icon
Related questions
Question
Let T : R2 → R² be the linear transformation which rotates vectors counter-clockwise about
the origin by 7T/3 radians (60 degrees).
(i)
Find the standard matrix of the linear transformation T.
(ii)
Use your matrix to rotate the vector v =
counterclockwise about the origin by
4
T/3 radians.
Transcribed Image Text:Let T : R2 → R² be the linear transformation which rotates vectors counter-clockwise about the origin by 7T/3 radians (60 degrees). (i) Find the standard matrix of the linear transformation T. (ii) Use your matrix to rotate the vector v = counterclockwise about the origin by 4 T/3 radians.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer