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
W14
Ross
(Quiz 1) using the RREF of a matrix to solve a system of linear equations 1.1, 1.2
W14
Ross
(Quiz 2) vector equation, linear combination, span of a set of vectors 1.3
W14
Ross
(Quiz 3) linear independence of column vectors, definition of linear transformation 1.7, 1.8
W14
Ross
(Quiz 4) matrix multiplication, inverse of a 2x2 matrix, one-to-one and onto linear transformations 1.9, 2.1, 2.2
W14
Ross
(Quiz 5) abstract vector spaces and subspaces, linear independence and linear combinations in such spaces 4.1, 4.3
W14
Ross
(Quiz 6) change of basis, determinants by cofactors, eigenvalues, eigenvectors, characteristic polynomials 3.1, 4.7, 5.1, 5.2
W14
Ross
(Quiz 7) diagonalization, dot (inner) products, unit vectors, perpendicular vectors, distance between vectors 5.3, 6.1
F13
Buell
reduced row echelon form, span of vectors 1.1, 1.2, 1.3
F13
Buell
solutions to Ax=b in parametric vector form, solution sets to linear systems, linear independence 1.4, 1.5, 1.7
F13
Buell
linear tranformations, the matrix of a linear transformation, definitions 1.8, 1.9
F13
Buell
matrix multiplication, inverse of a matrix 2.1, 2.2
F13
Buell
vector space, subspace, null space, column space, basis 4.1, 4.2, 4.3
F13
Buell
coordinate systems, dimension 4.4, 4.5
F13
Buell
determinants, rank 3.1, 4.6
F13
Buell
eigenvectors, eigenvalues, characteristic equation, diagonalization 5.1, 5.2, 5.3
F13
Buell
inner product, length, orthogonality 6.1, 6.2
W13
Wong
systems of linear equations, row reduction and echelon forms 1.1, 1.2
W13
Wong
vector equations, matrix equations 1.3, 1.4
W13
Wong
solution sets to linear systems, linear independence 1.5, 1.7
W13
Wong
linear transformations, matrix of a linear transformation 1.8, 1.9
W13
Wong
determinants and their properties 3.1, 3.2
W13
Wong
vector spaces, linear transformations 4.1, 4.2
W13
Wong
coordinate vectors, bases 4.3, 4.4
W13
Wong
eigenvalues, eigenvectors, eigenspace 5.1
W13
Wong
orthogonal sets, projection, length 6.1, 6.2
W13
Wong
Gram-Schmidt process, QR decomposition 6.3, 6.4
F12
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
F12
Ross
(Quiz 2) solutions to Ax=b in parametric vector form, equilibrium model application from economics 1.5, 1.6
F12
Ross
(Quiz 3) relationships among vectors in linearly dependent sets 1.7
F12
Ross
(Quiz 4) matrix multiplication 2.1
F12
Ross
(Quiz 5) Leontief Input-Output model, finding a basis for the column space of a matrix 2.6, 2.8
F12
Ross
(Quiz 6) determinants 3.1, 3.2
F11
Buell
reduced row echelon form, span of vectors 1.1, 1.2, 1.3
F11
Buell
matrix equations, linear independence 1.4, 1.5, 1.6, 1.7
F11
Buell
linear transformations 1.8, 1.9
F11
Buell
linear transformations 1.8, 1.9
F11
Buell
vector spaces, subspaces, column space, null space, linearly independent sets, bases 4.1, 4.2, 4.3
W10
Ross
(Quiz 1) systems of linear equations and their augmented matrices,
echelon forms
1.1, 1.2
W10
Ross
(Quiz 2) vector equations, linear combinations, span, solutions of matrix equations 1.2, 1.3, 1.4
W10
Ross
(Quiz 3) geometric solution of vector equations, parametric solution of matrix equation Ax=b 1.5
W10
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
W10
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
W10
Ross
(Quiz 6) determinants and their properties 3.1, 3.2
W10
Ross
(Quiz 7) characteristic polynomial, eigenvector, eigenvalue, basis for eigenspace 5.1, 5.2
W10
Ross
(Quiz 8) dot product, orthogonal set, the "perp" of a column space 6.1, 6.2
W10
Ross
(Quiz 9) projections, least-squares solutions, "best fit" curves 6.5, 6.6
F09
Ross
(Quiz 1) systems of linear equations and their augmented matrices, echelon forms 1.1, 1.2
F09
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
F09
Ross
(Quiz 3) linear independence, linear dependence and consequences of same 1.7
F09
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
F09
Ross
(Quiz 5) subspace, row space, null space, basis 2.8, 2.9
F09
Ross
(Quiz 6) determinant, eigenvector, eigenvalue, characteristic polynomial 3.1, 3.2, 5.1, 5.2
F09
Ross
(Quiz 7) dot product, orthogonal basis, the "perp" of a column space 6.1, 6.2
F09
Ross
(Quiz 8) least squares solutions of Ax=b 6.5
W09
Ross
(Quiz 1) systems of linear equations and their augmented matrices, echelon forms, vector equations, linear combinations, span 1.1, 1.2, 1.3
W09
Ross
(Quiz 2) solutions of matrix equations, homogeneous systems, and parametric vector form of solutions; linear independence 1.4, 1.5, 1.7
W09
Ross
(Quiz 3) linear transformations, onto, one-to-one 1.8, 1.9
W09
Ross
(Quiz 4) subspaces of R^n, column and null spaces of a matrix, basis of a vector space 2.8
W09
Ross
(Quiz 5) properties of determinants 3.1, 3.2
W09
Ross
(Quiz 6) eigenvalues, eigenvectors, eigenspaces, characteristic polynomial 5.1, 5.2
W09
Ross
(Quiz 7) dot products, orthogonal sets, row space 6.1, 6.2, 4.6
W09
Ross
(Quiz 8) projections, least-squares solutions, "best fit" lines 6.5, 6.6
F08
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
F08
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
F08
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
F08
Ross
(Quiz 4) matrix operations, inverses,characterizations of invertible matrices 2.1, 2.2, 2.3
F08
Ross
(Quiz 5) abstract vector spaces and subspaces 4.1
F08
Ross
(Quiz 6) column and null spaces 4.2
F08
Ross
(Quiz 7) determinants and their properties, eigenvectors, eigenvalues, characteristic polynomials 3.1, 3.2, 5.1, 5.2
F08
Ross
(Quiz 8) diagonalization 5.3
W08
Ross
(Quiz 1) systems of linear equations, row reduction, echelon forms, solutions of systems 1.1, 1.2
W08
Ross
(Quiz 2) use of calculators to find RREF,analyzing solutions, linear combination and span of a set of vectors 1.3
W08
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
W08
Ross
(Quiz 4) linear transformations, one-to-one, onto 1.7, 1.8
W08
Ross
(Quiz 5) matrix multiplication, matrix inverse and usage 2.1, 2.2
W08
Ross
(Quiz 6) definition of, finding, using and properties of determinants 3.1, 3.2
W08
Ross
(Quiz 7) null space, basis 4.2, 4.3
W08
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
W08
Ross
(Quiz 9) Leontief input/output model, diagonalization 2.6, 5.3
F07
Ross
(Quiz 1) systems of linear equations and their augmented matrices, echelon forms, vector equations 1.1, 1.2, 1.3
F07
Ross
(Quiz 2) matrix equations, solutions in terms of particular solutions, solutions of the homogeneous system 1.4, 1.5
F07
Ross
(Quiz 3) linear independence 1.7
F07
Ross
(Quiz 4) matrix multiplication, inverses and their uses 2.1
F07
Ross
(Quiz 5) elementary matrices, LU-factorizations 2.2, 2.5
F07
Ross
(Quiz 6) determinants, abstract vector spaces, subspaces, null and column space 3.1, 3.2, 4.1, 4.2
F07
Ross
(Quiz 7) rank, bases for Col(A), for Row(A), for Null(A), eigenvectors, eigenvalues 4.6, 5.1
F07
Ross
(Quiz 8) 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