# 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