Question | Answer |

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

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

3-or more-parameter solution = | |

the number of vectors in a basis for a vector space | |

when a linear system has an infinite number of solutions it has: | |

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

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

method used to find the determinant and/or inverse of a 3x3 matrix or larger | |

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

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

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

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

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

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

0-parameter solution = | |

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

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

vector of length one | |

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

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

using row operations to put a matrix into ref | |

When vectors can be written as linear combinations of each other they are | |

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

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