Linear Algebra

MIT-OCW

Lectures on Linear Algebra taped during the Spring 2010 semester at MIT. The lecturer, Gilbert Strang, is the author of the text book for this course.

• Lecture 15: Projections (3/28)
• Lecture 16: Least Squares (3/30)
• Lecture 17: Gram-Schmidt (4/4)
• Lecture 18: Determinants (4/6)
• Lecture 19: Permutations and Cofactors (4/11)
• Lecture 20: Cramer's Rule (4/18)
• Lecture 21: Eigenvalues (4/20)
• Lecture 22: Diagonalization (4/25)

MAtlab

MatLab (short for Matrix Laboratory) is a high-level programing language specializing in matrix calculation used extensively in mathematics and physics. We will be using MatLab to both perform calculation that are too involved to do by hand and create illustrations in 2D and 3D. The university supplies all students with a license for MatLab; installation instructions can be found at the Geneseo Wiki. 

Quizzes

HOmeWork

1. Section 2.2 - 12, 19, 25 and Section 2.3 - 3, 9, 21, 25 (Due 2/9)
2. Section 2.4 - 3, 4, 7, 11, 29, Section 2.5 - 27, and Section 2.6 - 7, 13, 22  (Due 2/16)
3. Section 2.7 - 3, 11,  17, 22 (Due 2/23)
4. Section 3.1 - 1, 10, 18, 27 and Section 3.2 - 1-4, 18, 23, 28 (Due 3/2)
5. Section 3.3 - 7, 10, 17--19, 23 and Section 3.4 - 1, 4, 7, 10, 19, 30 (Due 3/9)
6. Section 3.5 - 2, 13, 16, 20, 24  Section 3.6 - 3, 4, 11, 14, 24, and Section 4.1 - 7, 11, 21, 24, 29  (Due 3/28)
7. Section 4.2 - 5-7, 11--13, 17, 21, 22  Section 4.3 - 1--4, 10--14 (Due 4/6)
8. Section 4.4 - 4, 7, 11, 12, 15, 18, 23 Section 5.1 - 3, 12, 14, 18, 21, 23, 28 (Due 4/13)
9. Section 5.2 - 1, 5, 12, 15, 20 and Section 5.3 - 6, 10-12, 16, 18, 39 (Due 4/27)
10. Section 6.1 - 2, 4, 5, 9, 16, 17, 19, 21, 32and Section 6.2 - 1-4, 11, 12, 16, 19, 26, 28 (At Final)