Lesson: Linear Transformations in Planes: Rotation | Nagwa Lesson: Linear Transformations in Planes: Rotation | Nagwa

Lesson: Linear Transformations in Planes: Rotation Mathematics

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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.

Lesson Plan

Students will be able to

  • calculate the image of a single vector under a linear transformation that rotates around the origin,
  • calculate the image of a shape in the 2D plane under a linear transformation that rotates around the origin,
  • interpret the geometric effect of applying a given rotation matrix,
  • find the matrix that represents a rotation by a given angle around the origin,
  • find the matrix that represents a rotation that sends one point to another point.

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