Question | Answer |

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

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

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

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

system of linear equations with one or more solutions | |

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

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

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

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

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

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

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

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

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

the square root of (u1)^2+...+ (uk)^k | |

vector of length one | |

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

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

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

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

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

above and below leading ones are zeroes | |