## An introduction to the algebra of vectors and matrices |

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### Contents

BASIC CONCEPTS Pagei | 1 |

VECTORS OF TWO AND THREE DIMENSIONS | 8 |

VECTOR METHODS IN GEOMETRY LINEAR DEPENDENCE OF VECTORS | 22 |

Copyright | |

11 other sections not shown

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### Common terms and phrases

addition of vectors called characteristic equation characteristic function characteristic roots coefficient matrix cofactors column vector commutative complex numbers consider coordinate axes coordinate system corresponding scalar denote determinant dimensions directed line segments direction angles direction cosines direction numbers equal equivalent EXERCISES field F given matrix inner product integers integral domain inverse jth column letters line vector linear combination linear transformation linearly dependent linearly independent vectors magnitude matrix of order non-singular square matrices null matrix obtained orthogonal matrix pair of direction permutations PiP2 plane position vectors proved THEOREM rank real numbers relation rotation row or column satisfy scalar conditions scalar coordinates scalar equations scalar matrix scalar multipliers Section square matrix subgroup submatrix symmetric group symmetric matrix THEOREM VII three-dimensional vectors tion transformation matrix transpose two-dimensional vectors unit matrix unit vectors vector space vector subspace vectors are linearly zero