Math 3130: Linear Algebra

Summer 2011, Term C

Instructor: Alexander Nita

SYLLABUS

Matrices Handout

Systems of Linear Equations

Matrix Representations of Linear Transformations

Practice Midterm

Solutions to Practice Midterm

Abstract Vector Spaces, Linear Transformations, and Their Coordinate Representations

Examples and Exercises

Similarity Classes of Linear Operators and Matrices

Practice Final

Practice Final Solutions

HOMEWORK

HW 1 1.1: 2,6,17,22,25,27,29,32,36,38.
1.2: 4,5,15,18,22,24,25,26,30,33,34,41,52.
1.3: 3,4,5,10,11,14,20,29,30,44,47,55,63-66.
Due Mon. 6/6
HW 2 2.1: 2,3,8,10,13(Hint: consider the augmented matrix [A|I].),19,20,32,39,40,43(a).
2.2: 2,6,8,9,13,17,26,43,44.
2.3: 2,22,27,28,29,46,56.
Due Mon. 6/13
HW 3 2.4: 10,24,26,32,40,69,76.
3.1: 2,16,18,30,34,38,40.
3.2: 4,6,12,28,35,42,46,51.
Due Mon. 6/20
HW 4 3.3: 6,22,27,30,36,76.
3.4: 2,5,10,21,22,31,34,37,40,56,64.
4.1: 6-9,13-15,20,22,34,39,40,49,50,55.
Due Mon. 6/27
HW 5 3.4: 21,22,31,34,37,40,56,64.
4.1: 6-9,13-15,20,22,34,39,40,49,50,55.
4.2: 2,4,6,10,18,20,24,28,34,38,46,58,64,66.
Due Thurs. 7/6
HW 6 Exercises at end of Examples and Exercises.
4.3: 2,7,8,14,24,42,46,64.
6.1: 4,7,26,30,44,52.
6.2: 4,14,18,26,38.
Due Fri. 7/15
HW 7 7.1: 9,11,39.
7.2: 5,11,16,33,40,43.
7.3: 5,7,11,15,33.
7.4: 5,7,11,13,19,39,41,47,49,51,65.
Not to be turned in.