## Basic algebra and geometry for scientists and engineers |

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### Contents

Systems of linear equations determinants matrices | 20 |

Vectors in two and three dimensions complex numbers | 62 |

Analytical geometry in R2 and R3 | 99 |

Copyright | |

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### Common terms and phrases

a2bi add row aib2 algebra alloy angle of direction asymptotes axes binomial theorem called coefficients collinear complex number consider convex polygon coordinates cos2 Cramer's rule denote determinant diagonal directrices distance eccentricity ellipse equation represents equation x2 Example Exercises Figure Find the equation Find the largest foci focus formula given equation gives Hence i j k inequalities integer intersect largest value length linear equations llall llbll major axis parallel mathematical induction matrix mid-point natural number non-zero Note nth root orthogonal matrix parallelepiped partial fraction point x,y point x,y,z polynomial position vectors Proof Prove quadratic equation quadratic form radius rational function rational number real number represents a hyperbola represents a parabola rotation satisfy Section Similarly simultaneous equations sin2 smallest values solve the equation square roots system of equations system of linear tangent three-dimensional triangle two-dimensional Type 1 cakes vertices write x-axis y-axis