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Linear Algebra: Tentative Schedule Summer 2004

Linear Algebra Syllabus


Textbook Author's Website: MIT Professor Gilbert Strang

Videos of Gilbert Strang's Fall 1999 Lectures

Przemyslaw Bogacki's Linear Algebra Toolkit

 


1. Read Chapter 1 (Review) and Chapter 2, making sure you understand the detailed Examples.
 
Matrix Row Reduction Examples
 Example 1
 Example 4
 Example 2
 Example 5
 Example 3
 Example 6

       Matrix Multiplication Applet

2. Selected Homework 1 Problems: Section 2.4, Exercises 1-25, pp. 65-68.

   Elementary Matrices & Inverses
 Example 7
Example 8

3. Selected Homework 2 Problems: Find the Elementary Matrices used in 
Examples 2 & 3 above, and for each example multiply these matrices together
to find the inverse of the matrix A, and check by multiplying times A.

     Example 3 Answers
 
Computing Matrix Inverses
 Example 9
 Example 10

4. Selected Homework 3 Problems: Section 2.5, Exercises 1-33, pp. 78-82.
 

5. Quiz 1, Wednesday, 6-9-2004.

      Sample Quiz 1 , Sample Quiz 1 Answers

      Quiz 1 , Quiz 1 Answers

6.   Determinant Exercises

7. Selected Homework 4 Problems: Section 2.6, Exercises 1-22, pp. 91-94.

8. Quiz 2, on Determinants, Matrix Inverses, and Bases, Takehome, Due Monday 6-21-2004.

      Sample Quiz 2 , Sample Quiz 2 Answers

Note that for best results print Quiz 2 in landscape orientation using MS Internet Explorer. 

      Quiz 2 , Quiz 2 Answers
 

Eigenvalues & Eigenvectors
 Example 1
 Example 4
 Example 2
 Example 5
 Example 3
 Example 6

       Eigenvalue Decomposition Applet

Selected Homework 7:  Matrix Diagonalization
 
Gram-Schmidt Process
 Example 1
 Example 2

Selected Homework 8: Apply the Gram-Schmidt Process to find an orthonormal basis for Exercise 22, p. 230 and for the eigenvectors found in Examples 1, 4, 5, 6 above.

   Quiz 3 , Quiz 3 Answers

Selected Homework 9:  Orthogonal Matrices
 
Orthogonal Diagonalization
 Example 1
 Example 3
 Example 2
 Example 4

 Selected Homework 10:  Orthogonal Diagonalization
SHW10 Answers
 Exercise 1
 Exercise 4
 Exercise 2
 Exercise 5
 Exercise 3

 
Singular Value Decomposition (SVD)
 SVD  Case 1
 SVD  Case 2
 Example 1
 Example 1
 Example 2
 Example 2
 Example 3

    Singular Value Decomposition Applet

Selected Homework 11: Find the SVD of the matrix A in Problem 7, p. 360, and the matrix A in Problem 12, p. 398. 

      Quiz 4 , Quiz 4 Answers
 

          SVD & Image Compression Links
 

            Jpeg Links