Fall Term 2012

Lior Silberman
- Office: MATX 1112, 604-827-3031
- Email: "lior" (at) Math.UBC.CA (please include the course number in the subject line, if applicable)
- Office hours (Winter 2022): by appointment or
Time Location Zoom Meeting ID Zoom Password MF 11:30-12:30 My office and Zoom 691 7826 7667 761818 Wed 21:30-22:30 Zoom only 682 2985 1665 155350

- Lecture: MWF, 10:00-11:00am, Math Annex room 1100.
- Textbook: Friedberg, Insel and Spence,
*Linear Algebra*, 4th Edition. Prentice-Hall. - Syllabus version 1.0
- A summary of mathematical notations (updated 10/9: summation notation)
- More examples for lectures updated 16/9.
- Answers to questions updated 21/9.
- TA Office Hours: Tuesdays 15:00-17:00 in LSK 300B.

References are to the textbook.

- 15/12 Final exam: information sheet.
- (26-30/11) The Spectral Theorem
- (18-23/11) Inner product spaces
- (16/11) Random walks and graph eigenvalues; see the original technical report on Google.
- (14/11) Diagonalization and change-of-basis
- (9/11) Algebraic and Geometric multiplicity
- (7/11) Midterm 2: Midterm 2 (solutions) (pre-midterm sheet)
- (02/11) Section 5.1 (Eigenvalues)
- (26/10) Section 4.5 (Determinants)
- (24/10) Section 4.1, 4.2, 4.3 (Determinants)
- (22/10) Applications of Gaussian elimination
- (19/10) Linear equations and Gaussian elimination
- (17/10) Linear equations and Gaussian elimination
- (15/10) Linear equations and Gaussian elimination
- (12/10) Linear equations and Gaussian elimination
- (12/10) Linear equations and Gaussian elimination
- (10/10) Midterm review
- (5/10) Midterm 1 (solutions) (pre-midterm sheet) (midterm followup)
- (3/10) Section 2.3 (matrix multiplication), the algebra of endomorphisms
- (26/9) Section 2.2 (matrices)
- (24/9) Section 2.1 (linear transformations)
- (21/9) Geometric intrepretation
- (19/9) Dimension
- (17/9) Section 1.6 (bases)
- (14/9) Section 1.5 (linear independence)
- (12/9) Section 1.4 (linear combinations; span; linear equations)
- (10/9) Section 1.3 (subspaces)
- (7/9) Section 1.2 (vector spaces)
- (5/9) Introduction

- Problem Set 1, due 12/9/12 (problem 5 simplified, two typos cleared) [solutions]
- Problem Set 2, due 19/9/12 [solutions]
- Problem Set 3 (practice problems added, hint to 7(c) corrected), due 26/9/12 [solutions]
- Problem Set 4, due 3/10/12 (typo in 5(a), clarified definition for problem 7) [solutions]
- Problem Set 5, due 10/10/12 [solutions]
- Problem Set 6, due 17/10/12 (typo in 3(b)) [solutions]
- Problem Set 7, due 24/10/12 [solutions]
- Problem Set 8, due 2/11/12 [solutions]
- Problem Set 9 -- practice only [solutions]
- Problem Set 10, due 16/11/12 [solutions]
- Problem Set 11, due 23/11/12 [solutions]
- Problem Set 12, due 30/11/12 [solutions]

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