## Matrix-computer methods in engineering |

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### Contents

BASIC DEFINITIONS DETERMINANTS AND LINEAR ALGEBRAIC | 1 |

MATRIX ALGEBRA SIMULTANEOUS EQUATIONS | 22 |

EIGENVALUES EIGENVECTORS AND QUADRATIC FORMS | 55 |

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00 CHARACTERISTIC VECTOR 00 ITERATION NUMBER angular frequency applied augmented matrix Calculate Chapter characteristic equation characteristic polynomial characteristic value circuit coefficients column matrix consider corresponding cosh Cramer's rule damping degrees of freedom denote determinant discussed displacements eigenvalues eigenvector equation electromotive force energy equal equations of motion evaluation example exponential function expressed flexibility matrix four-terminal network Fourier transform internal forces inverse dynamical inverse matrix Laplace transform linear linearly independent loop matrix differential equation matrix equation matrix exponential matrix exponential function matrix method matrix of Equation matrix of order matrix P(t modal columns modal matrix mode modulus node normal coordinates number of multiplications obtain orthogonal oscillations pendulum premultiply problems procedure relation result satisfy Section set of equations simultaneous equations solution solve square matrix stiffness matrix structure substitute symmetric matrix transmission matrix transpose unit matrix vibration written zero