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Eigenvalues of Matrices of Low Rank

by Stewart Venit (California State University, Los Angeles) and Richard Katz (California State University, Los Angeles)

This article originally appeared in:
College Mathematics Journal
May, 2000

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

A technique is discussed for finding the eigenvalues of square matrices of small rank, which is useful for student discovery in a linear algebra class. The eigenvalues of a matrix of rank 1 or 2 can be found by solving a linear or quadratic equation.

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Capsule Course Topic(s):
Linear Algebra | Eigenvalues and Eigenvectors
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