Linear Algebra

MTH 3331 Home Page


                                                                                          

Prerequisite: MTH 2227

Instructor: Dr. Sergey Belyi                       E-mail me: sbelyi@troy.edu

Text: Elementary Linear Algebra, by Larson, Edwards, and Falvo, 5 th  Edition

Textbook


Syllabus: (click here)

Schedule: Monday, Wednesday, Friday 9:00-9:50, in MSCX 224

        

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You can download it for free from here!

Tests and Grades: Four tests will be given, but only three of them will count toward the 70% of a final grade. A comprehensive final exam will constitute approximately 20% of the final grade. MATLAB projects will count toward the 10% of the final grade. Students missing a scheduled test will have a zero (0) score recorded. Final Exam is on December 7, 11:00 – 1:00.


Here are your MATLAB projects:

Use this link to get MATLAB help file.


Course Outline

        Section 2.1. Operations with Matrices                                                

        Homework: ##1-17, 19-25, 27-29                                                     

        Section 2.2. Properties of Matrix Operations                                                                  

        Homework: ##1-15, 19-21, 23-25

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        Section 2.3. The Inverse of a Matrix                                                    

        Homework: ##1-3, 5-19, 25 a),c), 27 a), 31-33, ## 21-23, 29 (with MATLAB)                     

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        Section 2.4. Elementary Matrices                                  

        Homework: ##1-7, 13-19, 21-27, 37-39                                       

      REVIEW for Test 1   bd14866_.gif (501 bytes)

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Test 1           E-mail me to find out you test score                             

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        Section 3.1. The Determinant of a Matrix     

        Homework: ##1-11, 13-15, 19-37, 41-45                    

         Section 3.2. Evaluation of a Determinant Using Elementary Operations                                        

        Homework: ##1--29

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        Section 3.3. Properties of Determinants                                      

        Homework: ##1--13, 23-29, 35-37

     MATLAB Project 1  is due!!!                                                  

        Section 3.4. Introduction to Eigenvalues                

        Homework: ##1--11

 

Section 3.5. Application of Determinants (read first part only, till Area, Volume, etc.)                      

        Homework: ##1--7, 17--31

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  REVIEW for Test 2   bd14866_.gif (501 bytes)

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Test 2           E-mail me to find out you test score                  

        Section 4.1. Vectors in R^n                                                        

        Homework: ##9-17, 19-21, 27-37

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       Section 4.2. Vector Spaces                                               

        Homework: ##1-19, 25

 

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        Section 4.3. Subspaces of Vector Spaces                                                  

        Homework: ##1-3, 7-11, 15 - 19

                                                       

        Section 4.4. Spanning Sets and Linear Independence                                    

        Homework: ##1-31, 37-41

 

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        Section 4.5. Basis and Dimension                                  

        Homework: ## 5--43

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        Section 4.6. Rank of Matrix and Systems of Linear Equations                                                

        Homework: ##1-23, 33-35                             

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          Section 4.7. Coordiantes and Change of  Basis                                                

        Homework: ##1-19                                      

REVIEW for Test 3    bd14866_.gif (501 bytes)

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Test 3           E-mail me to find out you test score    

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        Section 5.1. Length and Dot Product in R^n                                                               

       Homework: ##1--19, 23-29, 33-39, 45-63     

        Section 5.2. Inner Product Spaces   

        Homework: ##1--7,13, 21-27, 31-33, 41-43

Section 5.3. Orthonormal Bases: Gram-Schmidt Process   

        Homework: ##1--9,13-25

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        Section 7.1. Eigenvalues and Eigenvectors                            

        Homework: ##1--5, 9-21

       

Section 7.2. Diagonalization                                                                       

        Homework: ##1--19

 

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        Section 7.3. Symmetric Matrices and Orthog. Diagonalization                             

        Homework: ##1--19

REVIEW for Test 4    bd14866_.gif (501 bytes)

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Test 4           E-mail me to find out you test score               

MATLAB Project 2 is due!

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FINAL EXAM             11/7     11:00 - 1:00     

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