# Math 205: Old Quizzes

Term | Date | Instructor | Topic(s) | Text Sections | Solutions |
---|---|---|---|---|---|

F15 | 09/14/15 | Wong | systems of linear equations, row reduction and echelon forms | 1.1, 1.2 | yes |

F15 | 09/21/15 | Wong | vector equations, matrix equations, solution sets of linear systems | 1.3, 1.4, 1.5 | yes |

F15 | 09/28/15 | Wong | linear independence, linear transformations and their matrices | 1.7, 1.8, 1.9 | yes |

F15 | 10/05/15 | Wong | matrix operations, inverse of a matrix, invertible matrices | 2.1, 2.2, 2.3 | yes |

F15 | 10/16/15 | Wong | determinants and their properties | 3.1, 3.2 | yes |

F15 | 10/30/15 | Wong | vector spaces, null spaces, column spaces, bases | 4.1, 4.2, 4.3 | yes |

F15 | 11/04/15 | Wong | dimension, rank, change of basis | 4.5, 4.6, 4.7 | yes |

F15 | 11/11/15 | Wong | eigenvalues, eigenvectors, characteristic equation, diagonalization | 5.1, 5.2, 5.3 | yes |

F15 | 12/04/15 | Wong | orthogonality, orthogonal sets, orthogonal projections | 6.1, 6.2, 6.3 | yes |

F15 | 12/11/15 | Wong | Gram-Schmidt process, diagonalization of symmetric matrices | 6.4, 7.1 | yes |

W15 | 01/23/15 | Ross | (Quiz 1, version 1) systems of equations, matrix representation, reduced row echelon form, vector equations, linear combination, span of a set of vectors | 1.1, 1.2, 1.3 | yes |

W15 | 01/23/15 | Ross | (Quiz 1, version 2) systems of equations, matrix representation, reduced row echelon form, vector equations, linear combination, span of a set of vectors | 1.1, 1.2, 1.3 | yes |

W15 | 01/30/15 | Ross | (Quiz 2, version 1) conditions for consistency, solutions of matrix equations in parametric vector form | 1.4, 1.5 | yes |

W15 | 01/30/15 | Ross | (Quiz 2, version 2) conditions for consistency, solutions of matrix equations in parametric vector form | 1.4, 1.5 | yes |

W15 | 02/13/15 | Ross | (Quiz 3) linear transformations | 1.8, 1.9 | yes |

W15 | 02/27/15 | Ross | (Quiz 4) matrix algebra: multiplication, inverse, transpose | 2.1, 2.2 | yes |

W15 | 03/06/15 | Ross | (Quiz 5) abstract vector spaces and subspaces | 4.1 | yes |

W15 | 03/20/15 | Ross | (Quiz 6) change of basis matrix, eigenvectors, eigenvalues | 4.7, 5.1 | yes |

W15 | 03/27/15 | Ross | (Quiz 7) eigenvectors, eigenvalues, eigenspaces, characteristic polynomials | 5.1, 5.2 | yes |

W15 | 04/03/15 | Ross | (Quiz 8) diagonalization, inner (dot) product | 5.3, 6.1 | yes |

W14 | 01/13/14 | Ross | (Quiz 1) using the RREF of a matrix to solve a system of linear equations | 1.1, 1.2 | yes |

W14 | 01/24/14 | Ross | (Quiz 2) vector equation, linear combination, span of a set of vectors | 1.3 | yes |

W14 | 02/07/14 | Ross | (Quiz 3) linear independence of column vectors, definition of linear transformation | 1.7, 1.8 | yes |

W14 | 02/14/14 | Ross | (Quiz 4) matrix multiplication, inverse of a 2×2 matrix, one-to-one and onto linear transformations | 1.9, 2.1, 2.2 | yes |

W14 | 02/28/14 | Ross | (Quiz 5) abstract vector spaces and subspaces, linear independence and linear combinations in such spaces | 4.1, 4.3 | yes |

W14 | 03/21/14 | Ross | (Quiz 6) change of basis, determinants by cofactors, eigenvalues, eigenvectors, characteristic polynomials | 3.1, 4.7, 5.1, 5.2 | yes |

W14 | 03/28/14 | Ross | (Quiz 7) diagonalization, dot (inner) products, unit vectors, perpendicular vectors, distance between vectors | 5.3, 6.1 | yes |

F13 | 09/13/13 | Buell | reduced row echelon form, span of vectors | 1.1, 1.2, 1.3 | yes |

F13 | 09/20/13 | Buell | solutions to Ax=b in parametric vector form, solution sets to linear systems, linear independence | 1.4, 1.5, 1.7 | yes |

F13 | 09/27/13 | Buell | linear tranformations, the matrix of a linear transformation, definitions | 1.8, 1.9 | yes |

F13 | 10/04/13 | Buell | matrix multiplication, inverse of a matrix | 2.1, 2.2 | yes |

F13 | 10/25/13 | Buell | vector space, subspace, null space, column space, basis | 4.1, 4.2, 4.3 | yes |

F13 | 11/01/13 | Buell | coordinate systems, dimension | 4.4, 4.5 | yes |

F13 | 11/08/13 | Buell | determinants, rank | 3.1, 4.6 | yes |

F13 | 11/15/13 | Buell | eigenvectors, eigenvalues, characteristic equation, diagonalization | 5.1, 5.2, 5.3 | yes |

F13 | 11/22/13 | Buell | inner product, length, orthogonality | 6.1, 6.2 | yes |

W13 | 01/11/13 | Wong | systems of linear equations, row reduction and echelon forms | 1.1, 1.2 | yes |

W13 | 01/18/13 | Wong | vector equations, matrix equations | 1.3, 1.4 | yes |

W13 | 01/25/13 | Wong | solution sets to linear systems, linear independence | 1.5, 1.7 | yes |

W13 | 02/01/13 | Wong | linear transformations, matrix of a linear transformation | 1.8, 1.9 | yes |

W13 | 02/13/13 | Wong | determinants and their properties | 3.1, 3.2 | yes |

W13 | 02/27/13 | Wong | vector spaces, linear transformations | 4.1, 4.2 | yes |

W13 | 03/06/13 | Wong | coordinate vectors, bases | 4.3, 4.4 | yes |

W13 | 03/13/13 | Wong | eigenvalues, eigenvectors, eigenspace | 5.1 | yes |

W13 | 03/27/13 | Wong | orthogonal sets, projection, length | 6.1, 6.2 | yes |

W13 | 04/03/13 | Wong | Gram-Schmidt process, QR decomposition | 6.3, 6.4 | yes |

F12 | 09/14/12 | Ross | (Quiz 1) using RREF of an augmented matrix to solve a system of equations, span of a set of column vectors | 1.1, 1.2, 1.3, 1.4 | yes |

F12 | 09/26/12 | Ross | (Quiz 2) solutions to Ax=b in parametric vector form, equilibrium model application from economics | 1.5, 1.6 | yes |

F12 | 09/28/12 | Ross | (Quiz 3) relationships among vectors in linearly dependent sets | 1.7 | yes |

F12 | 10/12/12 | Ross | (Quiz 4) matrix multiplication | 2.1 | yes |

F12 | 10/26/12 | Ross | (Quiz 5) Leontief Input-Output model, finding a basis for the column space of a matrix | 2.6, 2.8 | yes |

F12 | 11/02/12 | Ross | (Quiz 6) determinants | 3.1, 3.2 | yes |