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Inverse Problems in Vibration

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Inverse Problems in Vibration







Inverse Problems in

Vibration

Second Edition

by

Graham M.L. Gladwell

University of Waterloo,

Department of Civil Engineering,

Waterloo, Ontario, Canada



Chapter 1

Matrix Analysis

It is a bad sign when, on seeing a person, you remember his book.

1.1 Introduction

Pascal’s Pensées

The book relies heavily on matrix analysis. In this Chapter we shall present

the basic definitions and properties of matrices, and provide proofs of some

important theorems that will be used later. Since matrix analysis now has an

established position in Engineering and Science, it will be assumed that the

reader has had some exposure to it; the presentation in the early stages will

therefore be brief. The reader may supplement the treatment here with standard

texts.


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