Answered: Find a transformation matrix to rotate…

Find a transformation matrix to rotate a vector in R2 through an angle of 30 degrees. Then use it to rotate the vector (3, 7).

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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Question

Find a transformation matrix to rotate a vector in R²through an angle of 30 degrees. Then use it to rotate the vector (3, 7).

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

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