## A Course of Higher Mathematics: pt. 1. Linear algebraPergamon Press; [U.S.A. ed. distributed by Addison-Wesley Publishing Company, Reading, Mass., 1964 - Mathematical analysis |

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### Contents

The solution of systems of equations | 30 |

Groups of linear transformations 53 Groups of regular polyhedra | 52 |

Isomorphic and homomorphic groups 61 Examples 62 Stereo | 60 |

Copyright | |

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### Common terms and phrases

arbitrary array axes axis belongs to Lk characteristic roots coefficients cofactor commute complex numbers components conjugate consider corresponding cosets defined definition denote diagonal form diagonal matrix differs from zero easily elements aik equal equation equivalent expression fact factor follows at once formula functional determinant fundamental set given gives group G Hence Hermitian matrix homogeneous system identity element integer interchange left-hand side linear representation linear transformation linearly independent linearly independent vectors Lorentz transformation minant multiplication necessary and sufficient normal order normal subgroup null vector number of inversions obtained order determinant orthogonal transformations parameters permutations polynomial positive quadratic form rank reduces right-hand side rotation group rows and columns satisfy scalar product second subscripts Similarly solutions of system squares subspace sufficient condition Suppose tensor theorem three-dimensional space tion trans unitary matrix unitary transformation unity values variables whence whilst write xv x2