Question | Answer |

A basis that is also an orthonormal set | |

vector of length one | |

the distance between vector u and the projection of vector u onto vector v | |

an extra variable that's added to an inequality to make the constraint an equality | |

A^t (switching a matrix's rows and columns) | |

Problem of maximizing or minimizing a linear function over a set of constraints | |

when vector u times vector v = 0, U and v vectors are: | |

linear system that does not have any solutions | |

system where all constraints are 0 (when every equation in the system equals 0) | |

If given any demand there is a production schedule that meets that demand | |

If every vector is a unit vector and the vectors are mutually orthogonal then the vectors are | |

If a set of vectors spans the vector space V and the set is linearly independent it is a | |

1-parameter solution = | |

When no vector in S is a linear combination of the other vectors | |

first nonzero entry in every row is one and below each one are zeroes | |

using row operations to put a matrix into ref | |

a matrix where all entries are non-negative and every column sums to one | |

x vector =(x1,x2,...,xn) = Po vector + t times the v vector | |

a basic solution to a linear program in which all variables are nonnegative | |

the set of all linear combinations of a set of vectors | |

a matrix that represents the cost per dollar to run several companies/industries in an economy | |

vector v = c1v1+c2v2+...+ckvk for some scalars c1,c2...ck | |

vector u times vector v = u1v1+...+unvn | |

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