1.1 systems of linear equations (overview)
augmented matrix
solution of
linear systems via row operations
PROBLEMS: 6,7,8
QUIZ 1: 9/1
1.2 row-echelon form and reduced row-echelon form
linear systems:
"leading variables" and "free variables"
Gauss and Gauss-Jordan
elimination
homogeneous
linear systems
PROBLEMS: 4,5,
6/7, 10/11, 12, 20, 21, 25, 26 QUIZ 1:9/1
1.3 matrix operations
left action on vectors and
matrices
transpose matrices
PROBLEMS: 15,16,18,21,22
QUIZ 1:9/1
1.4 invertible matrices, properties of the inverse
matrix powers, polynomials
of matrices
PROBLEMS: 4,7,8,15,16,18,19,22
QUIZ 2:9/8
1.5 inverse via row reduction
PROBLEMS: 6,8,13
"elementary matrices": optional
reading
QUIZ 2:9/8
1.6 invertibility and solution of systems
PROBLEMS: 11-14,16-19, 20, 21,22
QUIZ 2:9/8
1.7 diagonal, triangular and symmetric matrices
PROBLEMS: 1,2,3, 24
NO QUIZ
Sections 2.1 and 2.4 are "optional reading"
2.2: Determinants via row reduction
PROBLEMS: 3,4,5,12,13
QUIZ3:9/15
2.3 : Properties of determinants
PROBLEMS: 5,6,7,10,11,17
QUIZ 3:9/15
Chapter 3 will not be covered in class: "optional reading"
4.1 Euclidean n-space
PROBLEMS: 4,10,16,20,23,26
QUIZ 3:9/15
4.2 Linear transformations of Euclidean space
PROBLEMS: 9,11,13,17,18,20,21
EXAM 1: 9/22
4.3 Properties of linear transformations
PROBLEMS: 3,4,13,14,18,19
EXAM 1:9/22