You are here

The Matrix of a Rotation

Given a unit vector \(p\) in \( \mathbf{R}^3\) and an angle \( \theta\), what is the matrix of the rotation of \(\mathbf{R}^3\) about \(p\) through an angle of \(\theta\) in terms of the standard basis?  The author obtains an explicit matrix without changing bases.

Old Node ID: 
1328
Author(s): 
Roger C. Alperin (San Jose State University)
Publication Date: 
Wednesday, November 15, 2006
Original Publication Source: 
College Mathematics Journal
Original Publication Date: 
May, 1989
Subject(s): 
Algebra and Number Theory
Linear Algebra
Eigenvalues and Eigenvectors
Linear Transformations
Vectors in R3
Geometry and Topology
Plane Geometry
Angles
Lines and Planes
Topic(s): 
Linear Algebra
Linear Transformation
Flag for Digital Object Identifier: 
Publish Page: 
Furnished by JSTOR: 
Rating Count: 
23.00
Rating Sum: 
68.00
Rating Average: 
2.96
Author (old format): 
Roger C. Alperin
Applicable Course(s): 
3.8 Linear/Matrix Algebra
4.14 Vector Analysis
Modify Date: 
Friday, November 17, 2006
Average: 3 (23 votes)

Dummy View - NOT TO BE DELETED