Lesson: Linear Transformations in Planes: Rotation

Mathematics

In this lesson, we will learn how to find the matrix of linear transformation of rotation at a given angle and the image of a vector under a given rotation linear transformation.

Worksheet

Q1:

Describe the geometric effect of the transformation produced by the matrix .

Q2:

A rotation with center the origin sends the vector to . Find the matrix representation of this rotation.

Q3:

A linear transformation of a plane sends the vector to . If the transformation is a rotation about the origin, where does it send ?

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