# Math 223: Linear Algebra

Fall Term 2012
Lior Silberman

## General Information

• 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
MF 11:30-12:30My office and Zoom691 7826 7667761818
Wed 21:30-22:30Zoom only682 2985 1665155350

## Lecture-by-lecture information

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 Sets

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

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