Home  Research  Teaching  Resume  Links  Contact 
Section 05 & 16672
Jing Li
Office: Live Oak Hall (LO), Room 1303C
Phone: 8186777799
Email: jing.li(at)csun(dot)edu
Office hours: Tuesdays 1:00 pm  2:00 pm
& Thursdays 12:45 pm  1:45 pm or by
appointment (email)
May 17, 2016, Tuesday 10:15 am  12:15 pm, Chaparral Hall Room 5117
Midterm Exam 1: (date to be announced) in class.
Midterm Exam 2: (date to be announced) in class.
Midterm Exam 3: (date to be announced) in class.
Tuesdays & Thursdays 11:00 am  12:15 pm in CR (Chaparral Hall) 5117
Linear Algebra with Applications (9th edition) by Steven J. Leon, Pearson, 2015.
Linear Algebra with Applications (5th edition) by Otto Bretscher, Pearson, 2013.
Introduction to Linear Algebra (4th edition) by Gilbert Strang, WellesleyCambridge Press, 2009.
I will post all assigments, solutions and additional material in this
space. You should therefore consult this spot frequently.
Course Syllabus (Please read it very carefully!!!)
Week  Date  Topics covered  Homework  Homework due date  Practice Problems  Additional Material 

1  Jan 26 & 28  Sec. 1.1: Systems of Linear Equations
Sec. 1.2: Row Echelon Form 
Exercises 1.1 (page
10): 1 (b),
(c), 3, 5 (b), (c), 6 (a), (d), (f), (h), 7, 9, 10, 11;
Exercises 1.2 (page 23): 2 (c), (e), (f), 3 (b), (c), (e), 5 (c), (e), (f), (i), (j), 6 (b), 8, 9, 10, 12, 15, 17, 19; 
Exercises 1.1 due 02/04/2016 Exercices 1.2 due 02/11/2016 
Exercises 1.1 (page
10): 1 (a), (c), 2, 4, 5 (a), (d), 6 (b), (c), (e), (g), 8;
Exercises 1.2 (page 23): 1, 2 (a), (b), (d), 3 (a), (d), (f), 4, 5 (a), (b), (d), (g), (h), (k), (l), 6 (a), (c), (d), 7, 11, 13, 14, 16, 18, 20, 21, 22; 

2  Feb 2 & 4 
Sec. 1.3: Matrix Arithmetic
Sec. 1.4: Matrix Algebra 
Exercises 1.3 (page 45):
1, 2 (a), (c),
(e), 4, 5, 6, 7, 8, 9, 10 (a), (b), 13;
Exercises 1.4 (page 58): 1, 7, 12, 13, 14, 15, 16, 18, 19, 21, 22, 23, 24, 28, 29, 34, 35, 36; 
Exercises
1.3 due 02/18/2016
Exercises 1.4 due 02/25/2016 
Exercises 1.3 (page
45): 2 (b), (d), (f), 3, 10 (c), 11, 12, 14, 15, 16, 17, 18;
Exercises 1.4 (page 58): 2, 3, 4, 5, 6, 8, 9, 10, 11, 17, 20, 25, 26, 27, 30, 31, 32, 33; 

3  Feb 9 & 11  Sec. 1.5: Elementary Matrices Sec. 1.6: Partitioned Matrices Quiz 1 
Exercises 1.5 (page
68): 1, 2, 3 (a),
(b), 5, 6, 7, 8 (a), (c), 9, 10 (a), (c), (e), (g), 11,
12 (a), (c), 15, 29, 30, 31;
Exercises 1.6 (page 78): 1, 3, 4, 5 (a), (b), 9, 11, 12, 13, 20; 
Exercises 1.5 due 03/01/2016 Exercises 1.6 due 03/03/2016 
Exercises 1.5 (page
68): 3 (c), 4, 8 (b), (d), 10 (b), (d), (f), (h), 12 (b), (d), 13,
14, 16, 17, 19, 21, 22, 23, 24, 25, 26, 27, 32;
Exercises 1.6 (page 78): 2, 5 (c), (d), 7, 8, 14, 15, 16, 17, 19, 21, 22; 
Solutions for Quiz 1
Statistics for Quiz 1 
4  Feb 16 & 18  Sec. 2.1: The Determinant of a Matrix
Sec. 2.2: Properties of Determinants 
Exercises 2.1 (page 93):
1,
2, 3 (a), (c), (e), (g), 4 (c), (d), 5, 6, 9, 11; Exercises 2.2 (page 100): 1, 2, 3 (b), (d), (f), 4, 5, 6, 7, 9, 13, 14, 16; 
Exercise
2.1 due 03/10/2016
Exercise 2.2 due 03/17/2016 
Exercises 2.1
(page 93): 3 (b), (d), (f), (h), 4 (a), (b), 7, 8, 10, 12, 13;
Exercises 2.2 (page 100): 3 (a), (c), (e), 8, 10, 11, 12, 15, 17, 18, 19; 

5  Feb 23 & 25  Midterm Exam
1 Sec. 2.3: Additional Topics and Applications 
Exercises 2.3 (page 108): 1 (a), (c), 2 (a), (c), (e), 3, 4, 5, 9;  Exercise 2.3 due
03/17/2016

Exercises 2.3
(page 108): 1 (b), (d), 2 (b), (d), 6, 7, 8, 10, 11, 12, 13;

Solutions for Midterm 1 Statistics for Midterm 1 
6  Mar 1 & 3 
Sec. 3.1: Definition and Examples
Sec. 3.2: Subspaces 
Exercises 3.1 (page 118):1, 4, 5, 7, 8, 11; Exercises 3.2 (page 128):1 (a), (c), (e), 2 (a), (c), 3, 4 (b), (c), 5, 8, 9 (a), (c), 11, 12, 13, 15, 18, 19; 
Exercise 3.1 due
03/29/2016
Exercise 3.2 due 04/07/2016 
Exercises 3.1
(page 118): 2, 3, 6, 9, 10, 12, 13, 14, 15, 16;
Exercises 3.2 (page 128): 1 (b), (d), 2 (b), (d), 4 (a), (d), 6, 7, 9 (b), (d), 10, 14, 16, 17, 20, 21, 22, 23; 

7  Mar 8 & 10 
Sec. 3.3: Linear Independence Sec. 3.4: Basis and Dimension 
Exercises 3.3
(page 140): 1 (a),(c),(d), 2 (a),(b),(c),(e), 3
(b),(c),(d), 4 (a), (c), 5, 7, 13, 14, 15, 19;
Exercises 3.4 (page 146): 1 (a),(c),(d), 2 (a),(b),(c),(e), 3, 4, 5, 8, 10; 
Exercise 3.3 due 04/12/2016 Exercise 3.4 due 04/12/2016 
Exercises 3.3 (page 140): 1 (b),(e), 2 (d), 3 (a),(e), 4 (b), 6, 8, 9, 10, 11, 12, 16, 17, 18, 20; Exercises 3.4 (page 146): 1 (b),(e), 2 (d), 6, 7, 9, 11, 12, 13, 14; 

8  Mar 15 & 17 
Sec. 3.5: Change of Basis
Sec. 3.6: Row Space and Column Space Quiz 2 
Exercises 3.5 (page 156): 1 (a),(b), 2 (a),(b), 3 (a),(b), 4, 5, 6, 7; Exercises 3.6 (page 162): 1 (a),(b), 2 (a),(c), 3, 4 (a),(b),(e), 5 (a),(e), 8, 9, 14, 15, 17; 
Exercises 3.5
due 04/12/2016
Exercises 3.6 due 04/19/2016 
Exercises 3.5
(page 156): 1 (c), 2 (c), 3 (c), 8, 9, 10, 11;
Exercises 3.6 (page 162): 1 (c), 2 (b), 4 (c),(d),(f), 5 (b),(c),(d),(f), 6, 7, 10, 11, 12, 13, 16, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30; 
Solutions for Quiz 2 Statistics for Quiz 2 
9  Mar 22 & 24  Spring Recess; No Instruction  
10  Mar 29 & 31 
Sec. 4.1: Definition and Examples Cesar Chavez Holiday; Campus Closed 
Exercises 4.1 (page 177): 1 (b),(d),(e), 2, 3, 4, 5 (c),(d), 6 (a),(b), 7 (b),(c), 9 (a),(b), 10, 11 (a),(b), 17, 18, 19 (a),(c); 
Exercises
4.1 due 04/19/2016

Exercises 4.1
(page 177): 1 (a),(c), 5 (a),(b), 6 (c),(d), 7 (a),(d), 8, 9
(c), 11 (c),(d), 12, 13, 14, 15, 16, 19 (b), 20, 21, 22, 23, 24, 25;


11  Apr 05 & 07 
Sec. 4.2: Matrix Representation of Linear Transformations
Midterm Exam 2 
Exercises 4.2 (page 190): 1 (a),(c),(e), 2 (a),(b), 3, 4 (a),(b), 5, 6, 7, 8, 14 (a),(b), 18 (a),(c) ;  Exercises 4.2 due 04/26/2016  Exercises 4.2 (page 190): 1 (b),(d), 2 (c), 4 (c), 13, 14 (c),(d), 15, 16, 18 (b), 19, 20; 
Solutions for Midterm 2 Statistics for Midterm 2 
12  Apr 12 & 14 
Sec. 4.3: Similarity
Sec. 5.1: The Scalar Product in R^n 
Exercises 4.3
(page 197): 1
(a),(c),(e), 2, 3, 4, 5, 6, 7, 12;
Exercises 5.1 (page 215): 1 (a),(b), 2 (a),(b), 3 (a),(c), 4, 5, 6, 7, 10, 12, 13, 17; 
Exercises 4.3 due 04/26/2016
Exercises 5.1 due 05/03/2016 
Exercises 4.3
(page 197): 1 (b),(d), 8, 9, 10, 11, 13, 14, 15;
Exercises 5.1 (page 215): 1 (c),(d), 2 (c),(d), 3 (b),(d), 9, 11, 14, 15, 18, 21; 

13  Apr 19 & 21 
Sec. 5.2: Orthogonal Subspaces
Sec. 5.3: Least Squares Problems 
Exercises 5.2
(page 224): 1, 2, 3, 4, 9, 12;
Exercises 5.3 (page 237):1, 2, 3, 4, 5, 6; 
Exercises 5.2 due 05/10/2016
Exercises 5.3 due 05/10/2016 
Exercises 5.2
(page 224): 5, 6, 7, 8, 10, 11, 13, 14, 15, 16, 17;
Exercises 5.3 (page 237): 7, 8, 9, 10, 11, 12, 13; 

14  Apr 26 & 28 
Sec. 5.4: Inner Product Spaces
Sec. 5.5: Orthonormal Sets 
Exercises 5.4
(page 246): 1,
2, 3, 4, 7, 8, 9, 10, 11, 15, 16, 32;
Exercises 5.5 (page 263): 1, 2, 4, 5, 6, 7, 8; 
Exercises 5.4
due 05/12/2016
Exercises 5.5 due 05/12/2016 
Exercises 5.4
(page 246): 5, 6, 12, 13, 14, 17, 18, 19, 20, 21, 22, 23, 24,
25, 26, 27, 28, 29, 30, 31, 33;
Exercises 5.5 (page 263): 3, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 31, 33; 

15  May 3 & 5 
Sec. 5.6: The GramSchmidt Orthogonalization
Sec. 6.1: Eigenvalues and Eigenvectors 
Exercises 5.6
(page 274): 1,
2, 3, 5, 7, 8;
Exercises 6.1 (page 299): 1, 2, 4, 7, 8, 13, 14, 16, 18, 21 ; 
Exercises 5.6 due 05/12/2016

Exercises 5.6
(page 274): 4, 6, 13, 14, 15;
Exercises 6.1 (page 299): 3, 5, 6, 9, 10, 11, 12, 15, 17, 19, 20, 22, 23, 24, 25, 26, 27, 28, 29, 30; 

16  May 10 & May 12 
Sec. 6.3: Diagonalization Midterm Exam 3 
Exercises 6.3 (page 327): 1, 2, 3, 5;  Exercises 6.3 (page 327): 4, 6, 7, 8, 9, 10, 12, 18, 19, 20;  Solutions for Midterm 3 

17  Final Exam Week  Final Exam on May 17 on Classroom CH 5117 