Try the Free Math Solver or Scroll down to Tutorials!

Enter expression, e.g. (x^2-y^2)/(x-y)

Enter expression, e.g. x^2+5x+6

Enter expression, e.g. (x+1)^3

Enter a set of expressions, e.g. ab^2,a^2b

Enter equation to solve, e.g. 2x+3=4

Enter equation to graph, e.g. y=3x^2-1

Depdendent Variable

Number of equations to solve:

Equ. #1:

Equ. #2:

Equ. #3:

Equ. #4:

Equ. #5:

Equ. #6:

Equ. #7:

Equ. #8:

Equ. #9:

Solve for:

Enter inequality to solve, e.g. 2x+3>4

Enter inequality to graph, e.g. y<3x^2-1

Dependent Variable

Number of inequalities to solve:

Ineq. #1:

Ineq. #2:

Ineq. #3:

Ineq. #4:

Ineq. #5:

Ineq. #6:

Ineq. #7:

Ineq. #8:

Ineq. #9:

Solve for:

Math solver on your site

Please use this form if you would like
to have this math solver on your website,
free of charge.

Name:

Email:

Your Website:

Msg:

LINEAR ALGEBRA

Course Description This course provides a study of linear algebra topics with emphasis on the development of
both abstract concepts and applications. Topics include vectors, systems of equations, matrices,
determinants, vector spaces, linear transformations in two or three dimensions, eigenvectors,
eigenvalues, diagonalization, and orthogonality. Upon completion, students should be able to
demonstrate both an understanding of the theoretical concepts and appropriate use of linear algebra
models to solve application problems. This course has been approved to satisfy the Comprehensive
Articulation Agreement general education core requirement in natural science/mathematics.

Prerequisite: MAT 271

Textbook: David C. Lay, Linear Algebra and Its Applications, Third Edition,
Addison Wesley Publishing Company, 2003

Course Goal: Upon completion, students should be able to demonstrate both an
understanding of the theoretical concepts and appropriate use of linear
algebra models to solve application problems.

Course Specific Competencies: Upon successful completion of the course, the student
should be able to:
• solve linear equations in linear algebra.
• solve problems using matrix algebra.
• solve problems in vector spaces.
• evaluate eigenvalues and solve problems using eigenvectors.
• solve problems of orthogonality and least squares.
• solve problems using symmetric matrices and quadratic forms.

Content Outline
1. 1.1 Systems of Linear Equations : exercises # 7, 19 - 22, 25
2. 1.2 Row Reducation & Echelon Forms : exercises # 1 - 4, 7 - 14
3. 1.3 Vector Equations : exercises # 1 – 2, 5 - 6, 17 - 21, 25, 26
4. 1.4 The Matrix Equation Ax=B : exercises # 1 - 20, 27, 28
5. 1.5 Solution Sets of Linear Systems : exercises # 1 - 12, 29 - 34
6. 1.6 Applications: to be assigned
7. 1.7 Linear Independence : exercises # 1 - 20
8. 1.8 Linear Transformations : exercises # 1 - 6, 17 - 20
9. ** EXAMINATION 1 **
10. 2.1 Matrix Operations : exercises # 1 - 11, 17
11. 2.2 Inverse of a Matrix : exercises # 1 – 7
12. 2.3 Invertible Matrices : exercises # 1 – 10
13. 2.4 Partitioned Matrices : exercises # 1 - 10
14. 2.5 Matrix Factorizations : exercises # 1 - 12
15. 2.6 Applications: to be assigned
16. ** EXAMINATION 2 **
17. 4.1 Vector Spaces & Subspaces : exercises # 1 - 14
18. 4.2 Null & Column Spaces, and Linear Transformations : exercises # 1 - 16
19. 4.3 Linearly Independent Sets; Bases : exercises # 1 - 16
20. 4.4 Coordinate Systems : exercise # 1 - 12
21. 4.5 Dimension of a Vector Space : exercise # 1 - 18
22. 4.6 Rank : exercises # 1 - 6
23. 4.7 Change of Basis : exercises # 1 - 2, 7 - 10
24. 4.8 Applications: to be assigned
25. ** EXAMINATION 3 **
26. 5.1 Eigenvectors & Eigenvalues : exercises # 1 - 18
27. 5.2 The Characteristic Equation : exercises # 1 – 14
28. 5.3 Diagonalization : exercises # 1 – 14
29. 5.4 Eigenvectors and Linear Transformations : exercises # 1 - 2, 11 - 16
30. 5.5 Complex Eigenvalues : exercises # 1 - 14
31. ** EXAMINATION 4 **
32. 6.1 Inner Product, Length, and Orthogonality : exercises # 1 – 18
33. 6.2 Orthogonal Sets : exercises # 1 - 13
34. 6.3 Orthogonal Projections : exercises # 1 - 12
35. 6.4 Gram-Schmidt Process & QR Factorization : exercises # 1 - 14
36. 6.5 Least-Squares Problem : exercises # 1 - 12
37. 6.6 Applications: to be assigned
38. ** EXAMINATION 5 **
39. 7.1 Diagonalization of Symmetric Matrices : exercises # 1 - 12
40. 7.2 Quadratic Forms : exercises # 1 - 6
41. ** EXAMINATION 6 **

Spring Semester - 2009

Registration: Current and Continuing Students	December 1 - 5
General Registration	December 8 - January 2***
Last Day to Pay Tuition and Fees	January 2*
* Unpaid registrations will be deleted from the computer registration system at 4:30 p.m.
Late Registration	January 5 - 9
Last Day to Pay Tuition and Fees for Late Registration	January 9*
* Unpaid registrations will be deleted from the computer registration system at 4:30 p.m.
New Student Welcome	January 9, 9:00 a.m.
Classes Begin	12-Jan
Schedule Adjustments	January 12 - 13
Minimester I	January 12 - March 9
Martin Luther King Jr. Day College Holiday	19-Jan
Late Start Semester First Class Day	20-Jan
Last Day to Drop for a Partial Refund (Full term)	22-Jan
Professional Development - 1/2 Day	17-Feb
Last Day to Apply for Spring Graduation	27-Feb
Minimester II	March 10 - May 12
Student Break or Inclement Weather Make-Up	13-Mar
Last Day to Withdraw from a full 16-week class	7-Apr
Spring College Holiday	13-Apr
Student Spring Break	April 13 - April 18
Last Day of Class/Examinations	May 12**
** May 12 will be scheduled as a Friday make-up day
Spring Graduation	15-May
Total Class	Days 80

** Up to three days may be made up at the end of the semester or during spring break for inclement weather.
***In person when college is open and when online registration is operational.