Linear Algebra, Fall 2009

Instructor: Lucy Lifschitz


Date  Sections  Homework 
August 25,27 §1.1 Systems of Linear Equations 
§1.2 Matrices 
§1.3 Matrix Multiplication 
p.8 ##1,11,15,17 
p.19 ##4,7 
p.30 ##2,4,11,24,32 
September 1,3  §1.4 Properties of Matrix Operations 
§1.5 Special Types of Matrices 
p.40 ##9,14,19,22,36 
p.52 ##3,6,13,15,18,22,34 
September 8,10  §1.6 Matrix Transformations 
§2.1 Echelon Form of a Matrix 
§2.2 Solving Linear Systems 
p.62 ##2,6,10,16,19 
p.94 ##1,3,5,13 
p.113 ##1,3,7,11,15,21 
September 15,17  §2.3 Elementary Matrices 
§3.1 Definition of Determinants 
§3.2 Properties of Determinants 
p.124 ##2,5,7,9,12,14,19 
p.145 ##1,3,9,11 
p.154 ##1,7,9,14,23,30 
September 22,24  §3.3 Cofactor Expansion 
§3.4 Inverse of a Matrix 
§3.5 Applications of Determinants 
p.164 ##1,4,5,7,9 
p.169 ##2,3,4,9 
p.172 ##1,3 
Sept. 29, Oct. 1  Review 
Midterm I, October 1 
 
 
October 6,8  §4.1 Vectors in the Plane and Space 
§4.2 Vector Spaces 
§4.3 Subspaces 
p.187 ##5,11,16 
p.196 ##1,3,8,10,19 
p.205 ##1,3,5,9,13,14,15 
October 13,15  §4.4 Span 
§4.5 Linear Independence 
p.215 ##1,2,4,5,8,11 
p.227 ##1,3,5,11,17 
October 20,22 §4.6 Basis and Dimension 
§4.7 Homogeneous Systems 
p.242 ##1,6,7,9,14,20 
p.252 ##3,4,5,8,17 
October 27,29  §4.8 Coordinates and Isomorphisms  
§4.9 Rank of a Matrix  
p.267 ##1,2,3,7,9,32,33 
p.282 ##1,2,5,9,13,21,31 
November 3,5  Review 
Midterm II, November 5 
 
November 10,12  §6.1 Definition and Examples 
§6.2 Kernel and Range 
p.372 ##1,3,7,11,13,15 
p.387 ##1,3,5,7,9,17,22 
November 17,19  §6.3 Matrix of a Linear Transformation 
§6.5 Similarity 
p.397 ##3,5,6,7,13 
p.413 ##1,5,9 
November 24    
 
December 1,3  §7.1 Eigenvalues and Eigenvectors 
§7.2 Diagonalization and Similar Matrices 
p.450 ##1,5,7,9,11 
p.461 ##1,3,7,9,15 
December 8,10   
Review for the Final 
 
 
Final Exam: Thursday, December 17, 8:00-10:00am