## Mathematics for Management |

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### Contents

Introductory Set Theory | 1 |

Mapping or Functions | 36 |

Some Basic Concept of Matrix | 56 |

Rank of a Matrix | 96 |

Transpose Matrix | 135 |

Integration of ax + b | 156 |

Integration of Irrational Algebraic Fractions | 172 |

Integration of Rational Fractions | 213 |

Elementary Integration | 246 |

Linear Programming | 282 |

### Common terms and phrases

arbitrary element artificial variables basic feasible solution basis matrix called coefficients complex conjugate complex numbers constraints corresponding elements defined denominator denoted diagonal matrix elementary matrix elementary row operations equations equivalence relation f dx f-image Find the rank formula function f given integral given matrix Hence f Hence proved Hence the rank idempotent identity matrix initial B.F.S. Integrate Solution interchanging inverse function ith row jth column linear programming linear programming problem m x n matrix mapping f mathematical induction MATRIX Definition matrix of order minor of order multiplying n x n natural numbers nilpotent matrix non-singular non-singular matrix non-zero variables null matrix number of rows number of subsets objective function Proof R3 by R3 real number replacing C2 replacing R3 respectively second function square matrix submatrix surplus variables Theorem transposed matrix zero