Old Math 205 Quizzes

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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
F09
Ross
 systems of linear equations and their augmented matrices,
echelon forms		 1.1, 1.2
F09
Ross
 vector equations, linear combinations, span, solutions of matrix equations, homogeneous systems, and parametric vector form of solutions 1.3, 1.4, 1.5
F09
Ross
 linear independence, linear dependence and consequences of same 1.7
F09
Ross
 matrix multiplication, finding the inverse of A by (a) formula (b) row reduction of [A|I] (c) elementary matrix products 2.1, 2.2
F09
Ross
 subspace, row space, null space, basis 2.8, 2.9
F09
Ross
 determinant, eigenvector, eigenvalue, characteristic polynomial 3.1, 3.2, 5.1, 5.2
soon!
W09
Ross
 systems of linear equations and their augmented matrices, echelon forms, vector equations, linear combinations, span 1.1, 1.2, 1.3
W09
Ross
 solutions of matrix equations, homogeneous systems, and parametric vector form of solutions; linear independence 1.4, 1.5, 1.7
W09
Ross
 linear transformations, onto, one-to-one 1.8, 1.9
W09
Ross
 subspaces of R^n, column and null spaces of a matrix, basis of a vector space 2.8
W09
Ross
 properties of determinants 3.1, 3.2
W09
Ross
 eigenvalues, eigenvectors, eigenspaces, characteristic polynomial 5.1, 5.2
W09
Ross
 dot products, orthogonal sets, row space 6.1, 6.2, 4.6
W09
Ross
 projections, least-squares solutions, "best fit" lines 6.5, 6.6
F08
Ross
 systems of linear equations and their augmented matrices, echelon forms, vector equations, matrix equations, span 1.1, 1.2, 1.3, 1.4
F08
 09/19/08
Ross
 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
F08
 09/26/08
Ross
 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
F08
 10/13/08
Ross
 matrix operations, inverses,characterizations of invertible matrices 2.1, 2.2, 2.3
F08
 10/24/08
Ross
 abstract vector spaces and subspaces 4.1
F08
 10/31/08
Ross
 column and null spaces 4.2
F08
 11/14/08
Ross
 determinants and their properties, eigenvectors, eigenvalues, characteristic polynomials 3.1, 3.2, 5.1, 5.2
F08
 11/21/08
Ross
 diagonalization 5.3
W08
Ross
 systems of linear equations, row reduction, echelon forms, solutions of systems 1.1, 1.2
W08
Ross
 use of calculators to find RREF,analyzing solutions, linear combination and span of a set of vectors 1.3
W08
Ross
 homogeneous systems and particular solutions, conditions under which a vector b is in the span of the columns of a matrix A 1.5
W08
Ross
 linear transformations, one-to-one, onto 1.7, 1.8
W08
Ross
 matrix multiplication, matrix inverse and usage 2.1, 2.2
W08
Ross
 definition of, finding, using and properties of determinants 3.1, 3.2
W08
Ross
 null space, basis 4.2, 4.3
W08
Ross
 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
W08
Ross
 Leontief input/output model, diagonalization 2.6, 5.3
F07
Ross
 systems of linear equations and their augmented matrices, echelon forms, vector equations 1.1, 1.2, 1.3
F07
Ross
 matrix equations, solutions in terms of particular solutions, solutions of the homogeneous system 1.4, 1.5
F07
Ross
 linear independence 1.7
F07
Ross
 matrix multiplication, inverses and their uses 2.1
F07
Ross
 elementary matrices, LU-factorizations 2.2, 2.5
F07
Ross
 determinants, abstract vector spaces, subspaces, null and column space 3.1, 3.2, 4.1, 4.2
F07
Ross
 rank, bases for Col(A), for Row(A), for Null(A), eigenvectors, eigenvalues 4.6, 5.1
F07
Ross
 diagonalization 5.3
F04
Haines
 systems of linear equations 1.1
no
F04
Haines
 row reduction, echelon forms 1.2
no
F04
Haines
 linear combinations of vectors 1.3
no
F04
Haines
 the matrix equation Ax=b 1.4
no
F04
Haines
 vector equations of lines 1.5
no
F04
Haines
 applications of linear systems 1.6
no
F04
Haines
 linear independence 1.7
no
F04
Haines
 linear transformations 1.8
no
F04
Haines
 the matrix of a linear transformation 1.9
no
F04
Haines
 matrix operations 2.1
no
F04
Haines
 matrix multiplication, inverse of a matrix 2.2
no
F04
Haines
 invertibility of matrices 2.3
no
F04
Haines
 partitioned matrices 2.4
no
F04
Haines
 matrix factorizations 2.5
no
F04
Haines
 the Leontief Input-Output Model 2.6
no
F04
Haines
 applications to computer graphics 2.7
no
F04
Haines
 subspaces 2.8
no
F04
Haines
 dimension and rank 2.9
no
F04
Haines
 determinants 3.1
no
F04
Haines
 more determinants 3.2
no
F04
Haines
 vector spaces and subspaces 4.1
no
F04
Haines
 null spaces, column spaces, linear transformations 4.2
no
F04
Haines
 linearly independent sets, bases 4.3
no
F04
Haines
 coordinate systems 4.4
no
F04
Haines
 dimension of a vector space 4.5
no
F04
Haines
 rank 4.6
no
F04
Haines
 change of basis 4.7
no
F04
Haines
 applications of Markov chains 4.9
no
F04
Haines
 eigenvectors and eigenvalues 5.1
no
F04
Haines
 the characteristic polynomial 5.2
no
F04
Haines
 diagonalization 5.3
no
F04
Haines
 eigenvectors and linear transformations 5.4
no
F04
Haines
 complex eigenvalues 5.5
no
F04
Haines
 inner products, length, orthogonality 6.1
no
F04
Haines
 orthogonal sets 6.2
no
F04
Haines
 orthogonal projections 6.3
no
F04
Haines
 diagonalization of symmetric matrices 6.4
no