Question | Answer |

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

system of linear equations with one or more solutions | |

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

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

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

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

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 | |

using row operations to put a matrix into ref | |

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

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

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

vector x = vector Po + t times vector v1 + s times vector v2 | |

above and below leading ones are zeroes | |

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

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 | |

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

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

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

vector starting at the origin and ending at a point | |

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

0-parameter solution = | |