## Computational Matrix Algebra |

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### Contents

Matrices | 13 |

Gaussian Elimination and Computer Arithmetic | 119 |

Vector Spaces | 157 |

Copyright | |

3 other sections not shown

### Common terms and phrases

adding additions algebra apply arithmetic assumed augmented matrix basic feasible solution basic variables become calculate called Chap choose coefficient matrix cofactor column complex component Consider consistent constraints contain corresponding Cramer's rule defined definition denote dependent described desired determinant diagonal discussion eigenvalues eigenvector elementary elements employed equal errors EXAMPLE Exercise exists expressed extreme fact Gauss-Jordan Gaussian elimination given Hence identical interchange inverse largest least linear programming problem linearly independent Moreover multiplications nonbasic nonsingular nonzero Note observe obtain optimal orthogonal orthogonal matrix perform proof prove rank reader requires respectively result right-hand side satisfied scalar sequence side of Eq simplex method solve square matrix step Suppose symmetric symmetric matrix system of equations Table Theorem true values variables vector space wish write yields zero