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Short cuts to computing eigenvalues.

Academic Exchange Quarterly

| September 22, 2005 | Euler, Russell; Sadek, Jawad | COPYRIGHT 2005 Rapid Intellect Group, Inc. This material is published under license from the publisher through the Gale Group, Farmington Hills, Michigan.  All inquiries regarding rights should be directed to the Gale Group. (Hide copyright information)Copyright

Abstract

We suggest some short cuts to compute eigenvalues be incorporated into standard elementary linear algebra texts. These shortcuts, whose proofs are quite elementary, have been classroom-tested and favored by our students over the usual methods. In addition to saving time and effort, these short cuts also underline and shed some light on the relationships that exist between several important concepts in linear algebra such as trace, determinant, block matrices, and eigenvalues.

Introduction

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Source: HighBeam Research, Short cuts to computing eigenvalues.

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