Old Math 205 Exams

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

Text sections denoted (Strang) refer to the third edition of Introduction to Linear Algebra by Strang.

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 Term Date Instructor Topic(s) Text Sections Solutions W16 02/12/16 Jayawant systems of linear equations and their solutions, linear independence, linear transformations, matrix operations and matrix inverses, subspace (Lay) 1.1-1.5, 1.7-1.9, 2.1-2.3, 2.8 (page 168 - definition of subspace) yes W16 03/18/16 Jayawant column space, null space, bases, dimension, rank, determinants, eigenvalues, eigenvectors, characteristic equation, diagonalization, inner product, length, orthogonality, orthogonal basis, orthogonal projection (Lay) 2.8-2.9, 3.1-3.2, 5.1-5.3, 6.1-6.2 (through page 389) yes F15 10/07/15 Wong systems of linear equations and their solutions and applications, linear independence, linear transformations, matrix operations and matrix inverses (Lay) 1.1-1.9, 2.1-2.3 yes F15 11/16/15 Wong determinants, vector spaces, subspaces, column space, null space, basis, rank, eigenvectors, eigenvalues, characteristic equation, diagonalization (Lay) 3.1-3.2, 4.1-4.6, 5.1-5.3 yes F15 12/15/15 Wong Final: all from 10/07 and 11/16 exams plus inner product, orthogonality, Gram-Schmidt process, diagonalization (Lay) 1.1-1.9, 2.1-2.3, 3.1-3.2, 4.1-4.6, 5.1-5.4, 6.1-6.4, 7.1 no W15 02/06/15 Ross (Exam 1) systems of linear equations, row reduction, echelon forms, solutions of systems, use of calculators to find RREF, analyzing solutions, linear combination and span of a set of vectors, homogeneous systems and particular solutions, conditions under which a vector b is in the span of the columns of a matrix A, matrix equations, linear independence, "exchange" model from economics (Lay) 1.1-1.7 yes W15 03/13/15 Ross (Exam 2) elementary matrices, matrix inverse, general vector spaces, subspaces, basis, null and column space, one-to-one linear transformations (Lay) 2.1-2.3,  4.1-4.3 yes F14 10/03/14 Ott systems of linear equations and their solutions, linear independence, linear transformations, matrix operations, inverse of a matrix, determinants (Lay) 1.1-1.5, 1.7-1.9, 2.1-2.3, 3.1-3.2 yes F14 11/10/14 Ott vector spaces, subspaces, null spaces, column spaces, linear independence, bases, coordinate systems, dimension, rank, eigenvectors, eigenvalues, characteristic equation, diagonalization (Lay) 4.1-4.6, 5.1-5.3 yes F14 12/09/14 Ott Final: all from 10/03 and 11/10 exams plus inner products, length, orthogonality, orthogonal sets and projections, Gram-Schmidt process (Lay) 1.1-1.5, 1.7-1.9, 2.1-2.3, 3.1-3.2, 4.1-4.6, 5.1-5.3, 6.1-6.4 yes W14 01/31/14 Ross (Exam 1) systems of linear equations, row reduction, echelon forms, solutions of systems, use of calculators to find RREF, analyzing solutions, linear combination and span of a set of vectors, homogeneous systems and particular solutions, conditions under which a vector b is in the span of the columns of a matrix A, matrix equations, linear independence (Lay) 1.1-1.7 yes W14 03/07/14 Ross (Exam 2) basis for null and row space of a matrix, basis for abstract vector spaces, subspaces, linear transformations on abstract spaces, elementary matrices (Lay) 4.1-4.3 yes W14 04/08/14 Ross (Final Exam) all from 01/31 and 03/07 exams plus least-squares problems and applications, orthogonal basis, change-of-basis matrix, determinants, characteristic polynomial, eigenvector, eigenvalue, eigenspace, diagonalizability, dimension, column space (Lay) 1.1-1.7, 4.1-4.3, 4.5-4.7, 5.1-5.3, 6.1-6.2, 6.5, 6.6 yes F13 10/07/13 Buell systems of linear equations and their solutions, linear independence, linear transformations, matrix operations (Lay) 1.1-1.5, 1.7-1.9, 2.1 yes F13 11/18/13A Buell IMT, determinants, vector spaces, subspaces, column space, null space, basis, rank, change-of-basis, eigenvalues, eigenvectors, diagonalization (Lay) 2.2-2.3, 3.1, 4.1-4.6, 5.1-5.3 yes F13 11/18/13B Buell IMT, determinants, vector spaces, subspaces, column space, null space, basis, rank, change-of-basis, eigenvalues, eigenvectors, diagonalization (Lay) 2.2-2.3, 3.1, 4.1-4.6, 5.1-5.3 yes F11 12/10/13 Buell Final: all from 10/07 and 11/18 exams plus inner products, length, orthogonality, orthogonal sets and projections, least squares, diagonalization (Lay) 1.1-1.5, 1.7-1.9, 2.1-2.3, 3.1-3.2, 4.1-4.6, 5.1-5.3, 6.1-6.3, 6.5, 7.1 no W13 02/06/13 Wong systems of linear equations and their solutions, linear independence, linear transformations, matrix operations and matrix inverses (Lay) 1.1-1.5, 1.7-1.9, 2.1-2.3 no W13 03/18/13 Wong determinants, vector spaces, subspaces, column space, null space, basis, rank, eigenvectors, eigenvalues, characteristic equation, diagonalization, linear transformations (Lay) 3.1-3.2, 4.1-4.6, 5.1-5.4 yes W13 04/09/13 Wong Final: all from 02/06 and 03/18 exams plus inner product, orthogonality, Gram-Schmidt process, diagonalization (Lay) 1.1-1.5, 1.7-1.9, 2.1-2.3, 3.1-3.2, 4.1-4.6, 5.1-5.4, 6.1-6.4, 7.1 no F12 10/05/12 Ross (Exam 1) systems of linear equations, row reduction, echelon forms, solutions of systems, use of calculators to find RREF, analyzing solutions, linear combination and span of a set of vectors, homogeneous systems and particular solutions, conditions under which a vector b is in the span of the columns of a matrix A, matrix equations, linear independence, linear transformations, an application to economics (exchange model) (Lay) 1.1-1.9 yes F12 11/09/12 Ross (Exam 2) Leontief input/output model, basis, column space, null space, determinants, eigenvectors, eigenvalues, characteristic polynomial, eigenspace, diagonalization (Lay) 2.6, 2.8-2.9; 3.1-3.2, 5.1-5.3 yes F12 12/12/12 Ross (Final Exam) all from 10/05 and 11/09 exams plus plus basis for null and row space, abstract vector spaces, change of basis, inner products, orthogonal sets and projections, least-squares problems and their applications (Lay) 1.1-1.9, 2.1-2.3, 2.6, 2.8-2.9; 3.1-3.2, 4.1-4.3, 4.5-4.7, 5.1-5.3, 6.1-6.3, 6.5-6.6 yes W12 02/27/12 Webster systems of linear equations and their solutions, linear independence, linear transformations, matrix operations and matrix inverses, subspace, dimension, rank, determinants (Lay) 1.1-1.9, 2.1-2.3, 2.8-2.9, 3.1-3.2 no W12 03/23/12 Webster eigenvectors, eigenvalues, characterisitic equation, diagonalization, linear transformations, inner products, orthogonal sets and projections, Gram-Schmidt, least-squares problems, linear models, abstract vector spaces (Lay) 5.1-5.4, 6.1-6.6 no W12 04/10/12 Webster Final: all from 02/27 and 03/23 exams plus inner product spaces and their applications, diagonalization of symmetric matrices, quadratic forms (Lay) 1.1-1.9, 2.1-2.3, 2.8-2.9, 3.1-3.2, 5.1-5.4, 6.1-6.8, 7.1-7.2 no F11 10/10/11 Buell systems of linear equations and their solutions, linear independence, linear transformations, matrix operations (Lay) 1.1-1.5, 1.7-1.9, 2.1 yes F11 11/18/11 Buell IMT, determinants, vector spaces, subspaces, column space, null space, basis, rank, change-of-basis, eigenvalues, eigenvectors, diagonalization (review sheet is here) (Lay) 2.2-2.3, 3.1, 4.1-4.6, 5.1-5.3 yes F11 12/13/11 Buell Final: all from 10/10 and 11/18 exams plus inner products, length, orthogonality, orthogonal sets and projections, least squares, diagonalization (Lay) 1.1-1.5, 1.7-1.9, 2.1-2.3, 3.1-3.2, 4.1-4.6, 5.1-5.3, 6.1-6.3, 6.5, 7.1 no W11 02/11/11 Jayawant systems of linear equations and their solutions, linear independence, linear transformations, matrix operations and matrix inverses (Lay) 1.1-1.5, 1.6 (pages 60-62), 1.7-1.9, 2.1-2.3 (page 129) yes W11 03/18/11 Jayawant subspace, column space, null space, bases, dimension, rank, determinants, eigenvalues, eigenvectors, characteristic equation, diagonalization, inner product, length, orthogonality (Lay) 2.8-2.9, 3.1-3.2, 5.1-5.3, 6.1 yes W11 04/13/11 Jayawant Final: all from 02/11 and 03/18 exams plus vector spaces, orthogonal sets, orthogonal projections, least squares, diagonalization of symmetric matrices (Lay) 1.1-1.9, 2.1-2.3, 2.8-2.9, 3.1-3.2, 4.1-4.5, 5.1-5.3, 6.1-6.3, 6.5-6.6, 7.1 yes F10 10/15/10 Webster systems of linear equations and their solutions, linear independence, linear transformations, matrix operations and matrix inverses, subspace, dimension, rank, determinants (Lay) 1.1-1.9, 2.1-2.3, 2.8-2.9, 3.1-3.2 no F10 11/19/10 Webster eigenvectors, eigenvalues, characterisitic equation, diagonalization, linear transformations, inner products, orthogonal sets and projections, Gram-Schmidt, least-squares problems, linear models, abstract vector spaces (Lay) 5.1-5.4, 6.1-6.6 no F10 12/16/10 Webster Final: all from 10/15 and 11/19 exams plus inner product spaces and their applications, diagonalization of symmetric matrices, quadratic forms (Lay) 1.1-1.9, 2.1-2.3, 2.8-2.9, 3.1-3.2, 5.1-5.4, 6.1-6.8, 7.1-7.2 no W10 02/12/10 Jayawant systems of linear equations and their solutions, linear independence, linear transformations, matrix operations and matrix inverses, subspace (Lay) 1.1-1.9, 2.1-2.3, 2.8 (subspace definition only)1.1 yes W10 03/19/10 Jayawant subspace, column space, null space, bases, dimension, rank, determinants, eigenvalues, eigenvectors, characteristic equation, diagonalization, inner product, length, orthogonality (Lay) 2.8-2.9, 3.1-3.2, 5.1-5.3, 6.1 yes W10 04/13/10 Jayawant Final: all from 02/12 and 03/19 exams plus vector spaces, orthogonal sets, orthogonal projections, least squares (Lay) 1.1-1.9, 2.1-2.3, 2.8-2.9, 3.1-3.2, 4.1-4.6, 5.1-5.3, 6.1-6.3, 6.5-6.6 yes W10 02/12/10 Ross (Exam 1) systems of linear equations, row reduction, echelon forms, solutions of systems, use of calculators to find RREF, analyzing solutions, linear combination and span of a set of vectors, homogeneous systems and particular solutions, conditions under which a vector b is in the span of the columns of a matrix A, matrix equations, linear independence, linear transformations (one-to-one/onto/matrix of, etc) (Lay) 1.1-1.5, 1.7-1.9 1.1 yes W10 03/19/10 Ross (Exam 2) exchange models (econ application), invertible matrices, basis for column spaces, characteristic polynomial, eigen-values/vectors/spaces, diagonalization, subspaces, determinants (Lay) 1.6, 2.1-2.3, 2.9, 3.1-3.2, 5.1-5.31.1 yes W10 04/15/10 Ross (Final Exam) all from 02/12 and 03/19 exams plus basis for null and row space, abstract vector spaces, change of basis, inner products, orthogonal sets and projections, least-squares problems and their applications (Lay) 1.1-1.9, 2.1-2.3, 2.8-2.9, 3.1-3.2, 4.1-4.3, 4.5-4.7, 5.1-5.3, 6.1-6.3, 6.5-6.6 yes F09 10/09/09 Jayawant systems of linear equations and their solutions, linear independence, linear transformations, matrix operations and matrix inverses (Lay) 1.1-1.9, 2.1-2.3 1.1 yes F09 11/13/09 Jayawant subspace, column space, null space, bases, dimension, rank, determinants, eigenvalues, eigenvectors, characteristic equation, diagonalization, inner product, length, orthogonality, orthogonal sets (Lay) 2.8-2.9, 3.1-3.2, 5.1-5.3, 6.1-6.2(pages 384-389 only)1.1 yes F09 12/17/09 Jayawant Final: all from 10/09 and 11/13 exams plus vector spaces, orthogonal projections, least squares (Lay) 1.1-1.9, 2.1-2.3, 2.8-2.9, 3.1-3.2, 4.1-4.6, 5.1-5.3, 6.1-6.3, 6.5-6.6, 7.1 yes F09 10/09/09 Ross (Exam 1) systems of linear equations, row reduction, echelon forms, solutions of systems, use of calculators to find RREF, analyzing solutions, linear combination and span of a set of vectors, homogeneous systems and particular solutions, conditions under which a vector b is in the span of the columns of a matrix A, matrix equations, linear independence, linear transformations; an application to economics (exchange tables) (Lay) 1.1-1.9 yes F09 11/13/09 Ross (Exam 2) invertible matrices, column & null spaces, characteristic polynomial, eigen-values/vectors/spaces, diagonalization, subspaces, determinants (Lay) 2.1-2.3, 2.9, 3.1-3.2, 5.1-5.3 yes F09 12/15/09 Ross (Final Exam) all from 10/09 and 11/13 exams plus general vector spaces, change of basis, inner products, orthogonal sets and projections, least-squares problems and their applications (Lay) 1.1-1.9, 2.1-2.3, 2.9, 3.1-3.2, 4.1-4.3, 4.5-4.7, 5.1-5.3, 6.1-6.3, 6.5-6.6 yes W09 02/13/09 Jayawant systems of linear equations and their solutions, linear independence, linear transformations, matrix operations and matrix inverses, subspace, column space, null space (Lay) 1.1-1.9, 2.1-2.3, 2.8 1.1 yes W09 03/20/09 Jayawant null space, bases, dimension, rank, determinants, eigenvalues, eigenvectors, characteristic equation, diagonalization, inner product, length, orthogonality, orthogonal sets (Lay) 2.8-2.9, 3.1-3.2, 5.1-5.3, 6.1-6.2 1.1 yes W09 04/16/09 Jayawant Final: all from 02/13 and 03/20 exams plus vector spaces, orthogonal projections, least squares, diagonalization (Lay) 1.1-1.9, 2.1-2.3, 2.8-2.9, 3.1-3.2, 4.1-4.6, 5.1-5.3, 6.1-6.3, 6.5-6.6, 7.1 1.1 yes W09 02/12/09 Ross review problems for Exam 1 (Lay) 1.1-1.5, 1.7-1.9, 2.1-2.3 1.1 no W09 02/13/09 Ross (Exam 1) systems of linear equations, row reduction, echelon forms, solutions of systems, use of calculators to find RREF, analyzing solutions, linear combination and span of a set of vectors, homogeneous systems and particular solutions, conditions under which a vector b is in the span of the columns of a matrix A, matrix equations, linear independence, linear transformations, matrix multiplication, inverses, elementary matrices, equivalent statements about invertible matrices (Lay) 1.1-1.5, 1.7-1.8, 2.1-2.3 yes W09 03/20/09 Ross (Exam 2) exchange models, column & null spaces, characteristic polynomial, eigen-values/vectors/spaces, diagonalization, subspaces, determinants (Lay) 1.6, 2.8, 3.1-3.2, 5.1-5.3 yes W09 04/16/09 Ross (Final Exam) all from 02/13 and 03/20 exams plus general vector spaces, change of basis, inner products, orthogonal sets and projections, least-squares problems and their applications (Lay) 1.1-1.8, 2.1-2.3, 2.8, 3.1-3.2, 4.1-4.7, 5.1-5.3, 6.1-6.3, 6.5-6.6 yes F08 10/03/08 Ross (Exam 1) systems of linear equations, row reduction, echelon forms, solutions of systems, use of calculators to find RREF, analyzing solutions, linear combination and span of a set of vectors, homogeneous systems and particular solutions, conditions under which a vector b is in the span of the columns of a matrix A, matrix equations, linear independence, linear transformations (Lay) 1.1-1.5, 1.7-1.8 yes F08 11/07/08 Ross (Exam 2) linear transformations: one-to-one and onto; matrix multiplication, matrix inverse and usage; vector spaces in general; subspaces; exchange models; null and column spaces; linear independence, spanning and basis; dimension, rank (Lay) 1.6, 2.1-2.2, 4.1-4.3, 4.5-4.6 yes W08 02/05/08 Greer systems of linear equations and their solutions, linear independence, linear transformations, linear models and applications (Lay) 1.1-1.10 yes W08 03/20/08 Greer matrix operations, inverses of matrices, applications, vector spaces, null space, column space, linear tranformations, bases, dimension, rank, eigenvectors, eigenvalues, characteristic equation, diagonalization (Lay) 2.1-2.3, 2.7, 4.1-4.6, 5.1-5.3 yes W08 04/09/08 Greer Final: all from 02/05 and 03/20 exams plus inner products, orthogonal sets, orthogonal projections, least squares, linear models (Lay) 1.1-1.10, 2.1-2.3, 2.7, 4.1-4.6, 5.1-5.3, 6.1-6.3, 6.5-6.6 yes W08 02/01/08 Ross (Exam 1) systems of linear equations, row reduction, echelon forms, solutions of systems, use of calculators to find RREF, analyzing solutions, linear combination and span of a set of vectors, homogeneous systems and particular solutions, conditions under which a vector b is in the span of the columns of a matrix A, matrix equations, linear independence (Lay) 1.1-1.5, 1.7 yess W08 03/07/08 Ross (Exam 2) linear transformations, one-to-one, onto; matrix multiplication, matrix inverse and usage; definition of, finding, using and properties of determinants; vector spaces in general; subspaces; exchange models (Lay) 1.6-1.8, 2.1-2.3, 3.1-3.2, 4.1 yess W08 04/10/08 Ross (Final Exam) all from 02/01 and 03/07 exams plus null, column, row spaces, dimension, rank, eigenvectors, eigenvalues, characteristic polynomial, diagonalization, inner products, orthogonal sets and projections, least-squares problems and their applications, and the Leontief input-output model (Lay) 1.1-1.8, 2.1-2.3, 2.6, 3.1-3.2, 4.1-4.3, 4.5-4.6, 5.1-5.3, 6.1-6.3, 6.5-6.6 yess F07 10/05/07 Ross (Exam 1) systems of linear equations and their augmented matrices, echelon forms, vector equations, matrix equations, solutions in terms of particular solutions, solutions of the homogeneous system, linear independence, linear transformations (Lay) 1.1-1.5, 1.7-1.8 yes F07 11/09/07 Ross (Exam 2) matrix multiplication, inverses and their uses, elementary matrices, LU-factorizations, determinants, abstract vector spaces, subspaces, null and column space, dimension (Lay) 2.1-2.3, 2.5, 3-1-3.2, 4.1-4.3 yes F07 12/13/07 Ross (Final Exam) all from 10/05 and 11/09 exams plus rank, bases, eigenvectors, eigenvalues, diagonalization, inner products, lengths of vectors, orthogonal sets, orthogonal projections, least-squares problems, applications of 6.5 topics (Lay) 1.1-1.5, 1.7-1.8, 2.1-2.3, 2.5, 3-1-3.2, 4.1-4.3, 4.6, 5.1, 5.3, 6.1-6.3, 6.5-6.6 yes W07 02/09/07 Greer systems of linear equations and their solutions, linear independence, linear transformations, linear models and applications, matrix operations and matrix inverses (Lay) 1.1-1.10, 2.1-2.2 yes W07 03/23/07 Greer invertible matrices, computer graphics, subspaces, dimension, rank, determinants, Markov chains, eigenvectors, eigenvalues, characteristic equation, diagonalization, discrete dynamical systems, inner product, orthogonality, orthogonal sets (Lay) 2.3, 2.7-2.9, 3.1-3.2, 4.9, 5.1-5.3, 5.6, 6.1-6.2 yes W07 04/10/07 Greer Final: all from 02/09 and 03/23 exams plus orthogonal projections, least squares, linear models, diagonalization, quadratic forms (Lay) 1.1-1.10, 2.1-2.3, 2.7-2.9, 3.1-3.2, 4.9, 5.1-5.3, 5.6, 6.1-6.3, 6.5-6.6, 7.1-7.2 yes F06 10/06/06 Jayawant systems of linear equations and their solutions, linear independence, linear transformations, matrix operations and matrix inverses, subspace, column space, row space (Lay) 1.1-1.5, 1.7-1.9, 2.1-2.3, 2.8 yes F06 11/10/06 Jayawant null space, bases, dimension, rank, determinants, eigenvalues, eigenvectors, characteristic equation, diagonalization, inner product, length, orthogonality, orthogonal sets (Lay) 2.8-2.9, 3.1-3.2, 5.1-5.3, 6.1-6.2 yes F06 12/15/06 Jayawant Final: all from 10/06 and 11/10 exams plus vector spaces, orthogonal projections, least squares, diagonalization, quadratic forms (Lay) 1.1-1.5, 1.7-1.9, 2.1-2.3, 2.8-2.9, 3.1-3.2, 4.1-4.6, 5.1-5.3, 6.1-6.3, 6.5, 7.1-7.2 yes W06 02/03/06 Shor systems of linear equestions and their solutions, linear independence, linear transformations, matrix operations and matrix inverses (Lay) 1.1-1.5, 1.7-1.9, 2.1-2.2 yes W06 03/08/06 Shor inverses, determinants, vector spaces, null space, column space, bases, linear independence, dimension, rank, eigenvectors, eigenvalues (Lay) 2.3, 3.1-3.2, 4.1-4.6, 5.1 yes W06 04/10/06 Shor Final: all from 02/03 and 03/08 exams plus characteristic equation, diagonalization, inner product, orthogonality, least squares, quadratic forms (Lay) 1.1-1.5, 1.7-1.9, 2.1-2.3, 3.1-3.2, 4.1-4.6, 5.1-5.3, 6.1-6.5, 7.1-7.2 yes F05 10/07/05 Jayawant systems of linear equations and their solutions, free variables, linear independence, spanning sets, linear transformations, matrices and their inverses (Lay) 1.1-1.5, 1.7-1.9, 2.1-2.3 yes F05 11/11/05 Jayawant subspaces, dimension, rank, determinants, eigenvalues, eigenvectors, characteristic equation, diagonalization, linear transformations (Lay) 2.8-2.9, 3.1-3.2, 5.1-5.4 yes F05 12/12/05 Jayawant Final: all from 10/07 and 11/11 exams plus vector spaces, null space, column space, bases, dimension, rank, inner product, orthogonality, least-squares, diagonalization (Lay) 1.1-1.5, 1.7-1.9, 2.1-2.3, 2.8-2.9, 3.1-3.2, 4.1-4.6, 5.1-5.4, 6.1-6.3, 6.5, 7.1 yes F05 09/23/05 Ross (Exam 1) systems of linear equations and their solutions, free variables, linear independence, spanning sets (Lay) 1.1-1.5, 1.7 yes F05 10/07/05 Ross (Exam 2) linear transformations from R^n to R^m (one to one, onto, compositions, matrices of), matrix operations, inverses, elementary matrices, and review of Exam I material (Lay) 1.1-1.5, 1.7-1.9, 2.1-2.3 yes F05 11/09/05 Ross (Exam 3) determinants, abstract vector spaces, subspaces, null & column space, kernel & image of a linear transformation, linear independence, span, basis, dimension, rank (Lay) 3.1-3.2, 4.1-4.3, 4.5-4.6 yes F05 12/13/05 Ross (Final Exam) all from 10/07 and 11/09 exams plus eigenvectors, eigenvalues, diagonalization, dot products, orthogonal sets, row space, orthogonal projections, least-squares problems and applications (Lay) 1.1-1.5, 1.7-1.9, 2.1-2.3, 3.1-3.2, 4.1-4.3, 4.5-4.6, 5.1-5.3, 6.1-6.3, 6.5-6.6 no W05 01/28/05 Jayawant systems of linear equations and their solutions, linear independence, linear transformations (Lay) 1.1-1.5, 1.7, 1.8 yes W05 02/18/05 Jayawant matrix algebra, determinants, vector spaces and subspaces (Lay) 2.1-2.3, 2.5, 3.1-3.2, 4.1 yes W05 03/18/05 Jayawant null space, column space, linear transformations, coordinate systems, bases, dimension, rank, eigenvectors, eigenvalues, characteristic equations (Lay) 4.2-4.6, 5.1-5.2 yes W05 04/13/05 Jayawant Final: all from 01/28, 02/18, and 03/18 exams plus diagonalization, orthogonality and least squares, and quadratic forms (Lay) 1.1-1.5, 1.7, 1.8, 2.1-2.3, 3.1, 3.2, 4.1-4.6, 5.1-5.3, 6.1-6.3, 7.1, 7.2 yes W05 01/28/05 Ross (Exam 1) systems of linear equations and their solutions, linear independence (Lay) 1.1-1.5, 1.7 no W05 02/18/05 Ross (Exam 2) matrix algebra, determinants (Lay) 2.1-2.3, 2.5, 3.1-3.2 no W05 03/18/05 Ross (Exam 3) vector space, subspace, null space, column space, linear transformations, bases, dimension, rank (Lay) 4.1-4.3, 4.5-4.6 no W05 04/13/05 Ross (Final Exam) all from 01/28, 02/18, and 03/18 exams plus eigenvectors, eigenvalues, characteristic polynomial, diagonalization, inner product, length, orthogonality, orthogonal sets, orthogonal projections, least squares problems and their applications (Lay) 1.1-1.5, 1.7, 2.1-2.3, 2.5, 3.1-3.2, 4.1-4.3, 4.5-4.6, 5.1-5.3, 6.1-6.3, 6.5, 6.6 no F04 09/27/04 Haines systems of linear equations and their solutions, linear independence, linear transformations, applications (Lay) 1.1-1.10 no F04 10/27/04 Haines matrix algebra, determinants (Lay) 2.1-2.9, 3.1-3.3 no F04 12/01/04 Haines vector spaces, eigenvalues and eigenvectors (Lay) 4.1-4.7, 4.9, 5.1-5.6 no F04 12/16/04 Haines Final: all from 09/27, 10/27, and 12/01 exams plus orthogonality, diagonalization, and quadratic forms (Lay) 1.1-1.10, 2.1-2.9, 3.1-3.3, 4.1-4.7, 4.9, 5.1-5.6, 6.1-6.3, 7.1-7.2 no W04 02/04/04 Greer systems of linear equations and their solutions, linear independence, linear transformations, vectors, matrix operations (Lay) 1.1-1.5, 1.7, 1.8, 2.1 yes W04 03/03/04 Greer inverse matrices, matrix factorization, determinants, vector spaces, subspaces, null space, column space, linear transformations (Lay) 2.2-2.5, 3.1-3.2, 4.1-4.2 yes W04 03/24/04 Greer bases, dimension, rank, eigenvectors, eigenvalues, diagonalization, inner product (Lay) 4.3-4.6, 5.1-5.4, 6.1 yes W04 04/16/04 Greer Final: all from 02/04, 03/03, and 03/24 plus orthogonality, least squares, inner product spaces, diagonalization, quadratic forms (Lay) 1.1-1.5, 1.7-1.8, 2.1-2.5, 3.1-3.2, 4.1-4.6, 5.1-5.4, 6.1-6.3, 6.5, 6.7, 7.1-7.2 yes W04 02/06/04 Ross (Exam 1) systems of linear equations and their solutions, linear independence, linear transformations, vectors (Note: cover page contains important information.) (Lay) 1.1-1.5, 1.7-1.8 no W04 03/05/04 Ross (Exam 2) matrix operations, inverse matrices, matrix factorization, determinants, vector spaces, subspaces, null space, column space, linear transformations (Lay) 2.1-2.3, 2.5, 3.1-3.2, 4.1-4.2 no W04 03/26/04 Ross (Exam 3) bases, dimension, rank, change of basis, eigenvectors, eigenvalues, diagonalization (Lay) 4.3-4.7, 5.1-5.4 no W04 04/15/04 Ross (Final Exam) all from 02/06, 03/05, and 03/26 exams plus orthogonality, least squares, applications to linear models (Lay) 1.1-1.5, 1.7-1.8, 2.1-2.3, 2.5, 3.1-3.2, 4.1-4.7, 6.1-6.3, 6.5-6.6 no F03 10/06/03 Johnson vectors, solving linear equations (Strang) Chapters 1 and 2 yes F03 11/14/03 Johnson vector spaces and subspaces, orthogonality (Strang) Chapters 3 and 4 yes F03 12/12/03 Johnson Final: all from 10/06 and 11/14 exams plus determinants, eigenvalues, and eigenvectors (Strang) Chapters 1-5, 6.1, 6.2, 6.4 no F02 10/07/02 Johnson vectors, solving linear equations (Strang) Chapters 1 and 2 yes F02 11/15/02 Johnson vector spaces and subspaces, orthogonality (Strang) Chapters 3 and 4 yes F02 12/13/02 Johnson Final: all from 10/07 and 11/15 exams plus determinants, eigenvalues, and eigenvectors (Strang) Chapters 1-5, 6.1, 6.2, 6.4 no W02 02/15/02 Johnson vectors, solving linear equations (Strang) Chapters 1 and 2 yes W02 03/22/02 Johnson vector spaces and subspaces, orthogonality (Strang) Chapters 3 and 4 yes W02 04/12/02 Johnson Final: all from 02/15 and 03/22 exams plus determinants, eigenvalues, and eigenvectors (Strang) Chapters 1-5, 6.1, 6.2, 6.4 no F01 10/08/01 Johnson vectors, solving linear equations (Strang) Chapters 1 and 2 yes F01 11/16/01 Johnson vector spaces and subspaces, orthogonality (Strang) Chapters 3 and 4 yes F01 12/14/01 Johnson Final: all from 10/08 and 11/16 exams plus determinants, eigenvalues, and eigenvectors (Strang) Chapters 1-5, 6.1, 6.2, 6.4 no