## Experiments in computational matrix algebra |

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### Contents

Linear Algebra Concepts and Related Properties | 3 |

Beginning to Use MATLAB | 5 |

Linear Systems of Equations | 91 |

Copyright | |

8 other sections not shown

### Common terms and phrases

algorithm approximate augmented matrix back substitution basic QR method called coefficient matrix column complex numbers components condition number Construct convergence defined denoted det(A det(XI determine diagonal entries diagonal matrix displays eigenpair eigenproblem eigenvalues eigenvectors elementary row operations Enter the matrix entered into MATLAB equivalent system expression following matrices format function file Gaussian elimination given graph Hence input inverse iterative least-squares linear algebra linear combination linear system Ax linearly independent lower triangular m x n matrix equation matrix norms multiplication n x n matrix nonsingular matrix obtain orthogonal orthogonal matrix pairs partial pivoting perform permutation matrix pivot vector pivoting strategy plot points power method procedure rank(A real numbers reduced row echelon row echelon form RREF scalar Section sequence singular values statement group string subspace symmetric symmetric matrix system of equations Theorem triangular entries variable name vector space verify xcomp zero