Question | Answer |

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

when it costs less then $1 in raw materials to make $1 worth of product | |

the square root of (u1)^2+...+ (uk)^k | |

when you multiply this with a matrix it is like multiplying by one | |

using row operations to put a matrix into ref | |

A vector space W that is part of a larger vector space V | |

If det(A) does not equal 0 then A is | |

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

3-or more-parameter solution = | |

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

when one non-zero vector is a scalar multiple of another, these vectors are: | |

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

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

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

choosing a point in a matrix, turning it into a one, then annihilating entries above and below it | |

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

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

A system is consistent if and only if the row rank of the coefficient matrix equals the row rank of the augmented matrix | |

the number of non-zero rows the matrix has after it has been put in ref | |

1-parameter solution = | |

vector of length one | |

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

A basis that is also an orthonormal set | |

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