## From determinant to tensor |

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### Contents

INTRODUCTION | 7 |

PROPERTIES OF DETERMINANTS | 20 |

SOLUTION OF SIMULTANEOUS EQUATIONS | 29 |

8 other sections not shown

### Common terms and phrases

algebraical algebraical independence altered arranged called chapter coefficients cofactor of dps cogredient column row columns and rows conjugate set consider contains contragredient contravariant corresponding elements covariant denote double set equal equations expression factors follows function of XK gives Greek letter Hence higher rank improved value inner multiplication inner product interchanges inverse Jacobian kind leading diagonal leading term linear function linear relation mean product mean square mean-product set method of moments multiplied notation number of reversals obtained outer product partial set properties quadratic form ratio reciprocal set 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 Xq and Xr