Question | Answer |

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 | |

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

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

vector of length one | |

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

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

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

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

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

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

system of linear equations with one or more solutions | |

linear system that does not have any solutions | |

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

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

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

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

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

using row operations to put a matrix into ref | |

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

Vector Sn = T^n times vector So | |

A basis that is also an orthonormal set | |

above and below leading ones are zeroes | |