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Linear Algebra: Tentative Schedule Summer 2004

Linear Algebra Syllabus

Textbook Author's Website: MIT Professor Gilbert Strang

1. Read Chapter 1 (Review) and Chapter 2, making sure you understand the detailed Examples.

 Example 1 Example 4 Example 2 Example 5 Example 3 Example 6

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

Elementary Matrices & Inverses

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

 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.

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.

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

 Example 1 Example 4 Example 2 Example 5 Example 3 Example 6

Selected Homework 7:  Matrix Diagonalization

 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.

Selected Homework 9:  Orthogonal Matrices

 Example 1 Example 3 Example 2 Example 4

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

 SVD  Case 1 SVD  Case 2 Example 1 Example 1 Example 2 Example 2 Example 3

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