Question | Answer |

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

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

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

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

system of linear equations with one or more solutions | |

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

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

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

2-parameter solution = | |

1-parameter solution = | |

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

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

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

linear system that does not have any solutions | |

A basis that is also an orthonormal set | |

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

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

vector of length one | |

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

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

above and below leading ones are zeroes | |

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

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