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An Intuitive Proof of the Singular Value Decomposition of a Matrix

by Keith J. Coates

This article originally appeared in:
College Mathematics Journal
November, 2011

Subject classification(s): Algebra and Number Theory | Linear Algebra | Matrix Algebra
Applicable Course(s): 3.8 Linear/Matrix Algebra

Using a simple trigonometric limit, the author provides an intuitive geometric proof of the Singular Value Decomposition of an arbitrary matrix.

A pdf copy of the article can be viewed by clicking below. Since the copy is a faithful reproduction of the actual journal pages, the article may not begin at the top of the first page.

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Capsule Course Topic(s):
Linear Algebra | Singular Value Decomposition
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