Old Math 205 Quizzes

Click on the date of each quiz in order to view it. If a solution set is available, you may click on it at the far right.

Text sections refer to the third edition of Linear Algebra and its Applications by Lay.

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 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 2x2 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 F11 09/16/11 Buell reduced row echelon form, span of vectors 1.1, 1.2, 1.3 yes F11 09/26/11 Buell matrix equations, linear independence 1.4, 1.5, 1.6, 1.7 yes F11 10/07/11A Buell linear transformations 1.8, 1.9 yes F11 10/07/11B Buell linear transformations 1.8, 1.9 yes F11 10/31/11 Buell vector spaces, subspaces, column space, null space, linearly independent sets, bases 4.1, 4.2, 4.3 yes W10 01/15/10 Ross (Quiz 1) systems of linear equations and their augmented matrices, echelon forms 1.1, 1.2 yes W10 01/22/10 Ross (Quiz 2) vector equations, linear combinations, span, solutions of matrix equations 1.2, 1.3, 1.4 yes W10 01/29/10 Ross (Quiz 3) geometric solution of vector equations, parametric solution of matrix equation Ax=b 1.5 yes W10 02/05/10 Ross (Quiz 4) linear independence, linear dependence and consequences of same; necessary & sufficient conditions on a vector b for it to be in the span of a set of (column) vectors 1.7 yes W10 02/26/10 Ross (Quiz 5) matrix multiplication, finding the inverse of A by (a) formula (b) row reduction of [A|I] (c) elementary matrix products 2.1, 2.2 yes W10 03/05/10 Ross (Quiz 6) determinants and their properties 3.1, 3.2 yes W10 03/12/10 Ross (Quiz 7) characteristic polynomial, eigenvector, eigenvalue, basis for eigenspace 5.1, 5.2 yes W10 03/26/10 Ross (Quiz 8) dot product, orthogonal set, the "perp" of a column space 6.1, 6.2 yes W10 04/02/10 Ross (Quiz 9) projections, least-squares solutions, "best fit" curves 6.5, 6.6 yes F09 09/18/09 Ross (Quiz 1) systems of linear equations and their augmented matrices, echelon forms 1.1, 1.2 yes F09 09/25/09 Ross (Quiz 2) vector equations, linear combinations, span, solutions of matrix equations, homogeneous systems, and parametric vector form of solutions 1.3, 1.4, 1.5 yes F09 10/02/09 Ross (Quiz 3) linear independence, linear dependence and consequences of same 1.7 yes F09 10/16/09 Ross (Quiz 4) matrix multiplication, finding the inverse of A by (a) formula (b) row reduction of [A|I] (c) elementary matrix products 2.1, 2.2 yes F09 10/30/09 Ross (Quiz 5) subspace, row space, null space, basis 2.8, 2.9 yes F09 11/06/09 Ross (Quiz 6) determinant, eigenvector, eigenvalue, characteristic polynomial 3.1, 3.2, 5.1, 5.2 yes F09 11/20/09 Ross (Quiz 7) dot product, orthogonal basis, the "perp" of a column space 6.1, 6.2 yes F09 12/04/09 Ross (Quiz 8) least squares solutions of Ax=b 6.5 yes W09 01/23/09 Ross (Quiz 1) systems of linear equations and their augmented matrices, echelon forms, vector equations, linear combinations, span 1.1, 1.2, 1.3 yes W09 01/30/09 Ross (Quiz 2) solutions of matrix equations, homogeneous systems, and parametric vector form of solutions; linear independence 1.4, 1.5, 1.7 yes W09 02/06/09 Ross (Quiz 3) linear transformations, onto, one-to-one 1.8, 1.9 yes W09 02/27/09 Ross (Quiz 4) subspaces of R^n, column and null spaces of a matrix, basis of a vector space 2.8 yes W09 03/06/09 Ross (Quiz 5) properties of determinants 3.1, 3.2 yes W09 03/13/09 Ross (Quiz 6) eigenvalues, eigenvectors, eigenspaces, characteristic polynomial 5.1, 5.2 yes W09 03/27/09 Ross (Quiz 7) dot products, orthogonal sets, row space 6.1, 6.2, 4.6 yes W09 04/03/09 Ross (Quiz 8) projections, least-squares solutions, "best fit" lines 6.5, 6.6 yes F08 09/12/08 Ross (Quiz 1) systems of linear equations and their augmented matrices, echelon forms, vector equations, matrix equations, span 1.1, 1.2, 1.3, 1.4 yes F08 09/19/08 Ross (Quiz 2) solutions of Ax=b in terms of particular solutions and solutions of the corresponding homogeneous system, finding explicit conditions for a vector to be in the span of a set of vectors 1.4, 1.5 yes F08 09/26/08 Ross (Quiz 3) linear independence of a set of vectors, how to determine which vectors in a linearly dependent set can be written as linear combinations of the others 1.7 yes F08 10/13/08 Ross (Quiz 4) matrix operations, inverses,characterizations of invertible matrices 2.1, 2.2, 2.3 yes F08 10/24/08 Ross (Quiz 5) abstract vector spaces and subspaces 4.1 yes F08 10/31/08 Ross (Quiz 6) column and null spaces 4.2 yes F08 11/14/08 Ross (Quiz 7) determinants and their properties, eigenvectors, eigenvalues, characteristic polynomials 3.1, 3.2, 5.1, 5.2 yes F08 11/21/08 Ross (Quiz 8) diagonalization 5.3 yes W08 01/11/08 Ross (Quiz 1) systems of linear equations, row reduction, echelon forms, solutions of systems 1.1, 1.2 yes W08 01/18/08 Ross (Quiz 2) use of calculators to find RREF,analyzing solutions, linear combination and span of a set of vectors 1.3 yes W08 01/25/08 Ross (Quiz 3) homogeneous systems and particular solutions, conditions under which a vector b is in the span of the columns of a matrix A 1.5 yes W08 02/08/08 Ross (Quiz 4) linear transformations, one-to-one, onto 1.7, 1.8 yes W08 02/15/08 Ross (Quiz 5) matrix multiplication, matrix inverse and usage 2.1, 2.2 yes W08 02/29/08 Ross (Quiz 6) definition of, finding, using and properties of determinants 3.1, 3.2 yes W08 03/14/08 Ross (Quiz 7) null space, basis 4.2, 4.3 yes W08 03/21/08 Ross (Quiz 8) review of some chapter 4 material: bases for row, column and null space of a matrix; eigenvalues, eigenvectors, characteristic polynomial, basis for eigenspace 5.1, 5.2 yes W08 03/28/08 Ross (Quiz 9) Leontief input/output model, diagonalization 2.6, 5.3 yes F07 09/14/07 Ross (Quiz 1) systems of linear equations and their augmented matrices, echelon forms, vector equations 1.1, 1.2, 1.3 yes F07 09/21/07 Ross (Quiz 2) matrix equations, solutions in terms of particular solutions, solutions of the homogeneous system 1.4, 1.5 yes F07 09/28/07 Ross (Quiz 3) linear independence 1.7 yes F07 10/12/07 Ross (Quiz 4) matrix multiplication, inverses and their uses 2.1 yes F07 10/26/07 Ross (Quiz 5) elementary matrices, LU-factorizations 2.2, 2.5 yes F07 11/02/07 Ross (Quiz 6) determinants, abstract vector spaces, subspaces, null and column space 3.1, 3.2, 4.1, 4.2 yes F07 11/16/07 Ross (Quiz 7) rank, bases for Col(A), for Row(A), for Null(A), eigenvectors, eigenvalues 4.6, 5.1 yes F07 11/30/07 Ross (Quiz 8) diagonalization 5.3 yes F04 09/09/04 Haines systems of linear equations 1.1 no F04 09/10/04 Haines row reduction, echelon forms 1.2 no F04 09/13/04 Haines linear combinations of vectors 1.3 no F04 09/15/04 Haines the matrix equation Ax=b 1.4 no F04 09/16/04 Haines vector equations of lines 1.5 no F04 09/17/04 Haines applications of linear systems 1.6 no F04 09/20/04 Haines linear independence 1.7 no F04 09/22/04 Haines linear transformations 1.8 no F04 09/23/04 Haines the matrix of a linear transformation 1.9 no F04 09/30/04 Haines matrix operations 2.1 no F04 10/01/04 Haines matrix multiplication, inverse of a matrix 2.2 no F04 10/04/04 Haines invertibility of matrices 2.3 no F04 10/06/04 Haines partitioned matrices 2.4 no F04 10/07/04 Haines matrix factorizations 2.5 no F04 10/08/04 Haines the Leontief Input-Output Model 2.6 no F04 10/11/04 Haines applications to computer graphics 2.7 no F04 10/13/04 Haines subspaces 2.8 no F04 10/14/04 Haines dimension and rank 2.9 no F04 10/15/04 Haines determinants 3.1 no F04 10/18/04 Haines more determinants 3.2 no F04 10/29/04 Haines vector spaces and subspaces 4.1 no F04 11/01/04 Haines null spaces, column spaces, linear transformations 4.2 no F04 11/03/04 Haines linearly independent sets, bases 4.3 no F04 11/04/04 Haines coordinate systems 4.4 no F04 11/05/04 Haines dimension of a vector space 4.5 no F04 11/08/04 Haines rank 4.6 no F04 11/10/04 Haines change of basis 4.7 no F04 11/11/04 Haines applications of Markov chains 4.9 no F04 11/12/04 Haines eigenvectors and eigenvalues 5.1 no F04 11/15/04 Haines the characteristic polynomial 5.2 no F04 11/17/04 Haines diagonalization 5.3 no F04 11/18/04 Haines eigenvectors and linear transformations 5.4 no F04 11/19/04 Haines complex eigenvalues 5.5 no F04 12/03/04 Haines inner products, length, orthogonality 6.1 no F04 12/06/04 Haines orthogonal sets 6.2 no F04 12/08/04 Haines orthogonal projections 6.3 no F04 12/09/04 Haines diagonalization of symmetric matrices 6.4 no