Special Directions: Eigenvalues and Eigenvectors

Synopsis: Matrices acting in column vectors correspond to transformations of vectors: graphically vectors are shown being moved and changing their length. But some vectors don’t change direction, and their length changes by a constant factor. How do you find the directions in which this happens? What is the scaling factor? Shows that this geometrical property is equivalent to the algebraic eigenvalue problem. Because repeated application of the same matrix causes a general starting vector to move as close as required to the dominant eigenvector, it is possible to design a numerical iterative method for finding eigenvalues.
Series: Mathematical Models and Methods, Course Mst204
Language: English
Country: Great Britain
Medium: Video; Videocassette. Standard formats. col. 24 min.
Year of production: 1981
Availability: OUT OF DISTRIBUTION
Subjects: Mathematics
Keywords: algebra; matrices

Director

Producer

Cast

Jennifer Phillips
Norman Gowar

Name: Open University Worldwide
Web: http://www.ouw.co.uk External site opens in new window
Phone: +44 (0) 1908 274066
Address: Walton Hall
Milton Keynes
MK7 6AA
Notes: NB. As of May 2016 Open University Worldwide are no longer distributing DVDs. They have posted this message on their website: ‘Unfortunately Open University Worldwide Limited has decided that product sales are no longer viable given the reduced funding to Higher Education institutions and diminishing demand for the products we have traditionally stocked. At present the Open University Students Association (OUSA) will continue to sell the "Good Study Guide", and we are in discussion with other possible distributors to continue to make The Open University’s products available for purchase. As soon as we have any information on other channels of distribution we will update this notice’. Some products are still available via second hand dealers on Amazon.co.uk

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