Question | Answer |

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

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

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

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

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

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

Vector Sn = T^n times vector So | |

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

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: | |

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

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

above and below leading ones are zeroes | |

linear system that does not have any solutions | |

1-parameter solution = | |

vector of length one | |

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

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

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

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

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

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 | |