## From Determinant to Tensor |

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### Contents

INTRODUCTION | 7 |

PROPERTIES OF DETERMINANTS | 20 |

SOLUTION OF SIMULTANEOUS EQUATIONS | 29 |

Copyright | |

8 other sections not shown

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### Common terms and phrases

algebraical algebraical independence altered arranged BvCv called chapter coefficients column row columns and rows conjugate set consider constructed contains contragredient contravariant corresponding elements covariant denote determinant of order deviations double set equal equations example expression factors follows function of XK gives Greek letter Hence higher rank improved value inner multiplication inner product instance interchanges inverse Jacobian kind leading diagonal leading term linear function linear relation mean product mean square method method of moments multiplied notation number of reversals obtained original set outer product pair partial set particular properties quadratic form ratio regard replace result reversals of order rth row rule of signs scalar set of order set of quantities set of rank sets of higher Similarly simultaneous equations statement statistically independent Suppose symbol tensor calculus theory of relativity tion transposed unit set vector VIII write