## Applications for elementary linear algebra |

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### Contents

A Model of Traffic Flow | 1 |

Linear Programming ll | 11 |

Games Theory | 59 |

Copyright | |

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### Common terms and phrases

2x2 matrix game absorbing Markov chain alleles assume birds chapter choose constraint set corner point method correct response data points define determine the maximum directed graph dual problem eigenvalues eigenvector equal equation Example expected number expected return experiment Figure fixed probability vector game matrix gene genotypes AA given guessing correctly Hardy-Weinberg law incidence matrix initial probability distribution initial simplex tableau linear algebra linear function linear inequalities linear programming mathematical induction mating Maximize f minimize minimum value n-chain nonbasic variables nonnegative number of females objective function offspring optimal solution optimal strategies parakeet payoff matrix percent pivot play players polyhedral convex set population probability matrix proof proportions pure strategies queue random saddle point satisfy second row simplex method solution set solve species strategy q Suppose terminal tableau transition matrix trial units of food vertex x2 x3 sl x3 sl s2 xl x2 sl xl x2 x3