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BASIC DEFINITIONS DETERMINANTS AND LINEAR ALGEBRAIC
MATRIX ALGEBRA SIMULTANEOUS EQUATIONS
EIGENVALUES EIGENVECTORS AND QUADRATIC FORMS
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applied assumed becomes calculated called Chapter characteristic characteristic equation characteristic value characteristic vector circuit coefficients column column matrix complex computation condition consider constants corresponding cosh Cramer's rule damping defined denote described determinant diagonal differential equation direction discussed displacements dynamical matrix eigenvalues eigenvectors elements energy equal evaluation example expanded expressed Figure flexibility forces Fourier transform frequency function given gives initial integral internal forces introduce inverse iteration linear loop mass method mode motion multiplications notation noted nth-order obtain operations oscillations polynomial potential premultiply problems procedure properties reduces Reference relation represent respect result roots satisfy scalar seen shown sinh solution solve square matrix statement STEP structure substitute symmetric symmetric matrix Table third unit values vector vibrations write written zero