Lesson: Finding the Matrix of the Linear Transformation of Rotating Vectors through a Given Angle

In this lesson, we will learn how to find the matrix of a linear transformation which rotates every vector in R² by a given angle.

Worksheet: Finding the Matrix of the Linear Transformation of Rotating Vectors through a Given Angle • 14 Questions

Q1:

Find the matrix for the linear transformation that rotates every vector in through an angle of .

Q2:

Find the matrix for the linear transformation that rotates every vector in through an angle of .

Q3:

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

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