Matrix Computer Methods In Engineering |
Contents
BASIC DEFINITIONS DETERMINANTS AND LINEAR ALGEBRAIC | 1 |
MATRIX ALGEBRA SIMULTANEOUS EQUATIONS | 22 |
EIGENVALUES EIGENVECTORS AND QUADRATIC FORMS | 55 |
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00 ITERATION NUMBER a₁ applied augmented matrix b₁ C₁ calculated Cayley-Hamilton theorem Chapter characteristic equation characteristic polynomial characteristic value circuit coefficients consider constant corresponding cosh Cramer's rule D₁ denote determinant diagonal discussed displacements distinct eigenvalues dynamical matrix eigenvalues eigenvector equation electromotive force equal evaluation example exponential function expressed Figure flexibility matrix frequency internal forces inverse inverse matrix iteration method k₁ Laplace transform linear linearly linearly independent matrix algebra matrix differential equation matrix exponential matrix exponential function matrix iteration matrix of Equation matrix of order modal matrix obtain orthogonal orthogonal matrix oscillations premultiply problem procedure result S₁ satisfy scalar product Section set of equations shown simultaneous equations sinh solution solve square matrix Statements stiffness matrix structure substitute symmetric matrix transpose unit matrix V₁ V₂ values and vectors written X₁ Y₁ zero λι