Question | Answer |

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

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

If AB = I and BA = I then B is the _______ of A. | |

linear system that does not have any solutions | |

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

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

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

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

vector of length one | |

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

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

1-parameter solution = | |

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

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

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

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

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

3-or more-parameter solution = | |

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

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

using row operations to put a matrix into ref | |

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

Vector Sn = T^n times vector So | |