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

Rotation is about one of the axes of a Coordinate system. The following three basic rotation matrices rotate vectors by an angle, in three dimensions. In this lesson, we will learn how to find the Matrix of 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:

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

Q4:

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

Q5:

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

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