Math 223: Linear Algebra

Fall Term 2012

General Information

Office: MATH 229B, 604-827-3031
Email: "lior" (at) Math.UBC.CA (please include the course number in the subject line, if applicable)
Office Hours: By appointment and after class.

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 teachnical 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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Last modified Thursday December 13, 2012