MATH 223: Linear Algebra


  • Solution 1 and Homework 2 now posted
  • Friday office hour moved to 12:00-1:00
  • First Homework Assignment is available
  • Tuesday office hour moved to 8:30-9:30

Basic Information

Homework Assignments

Sheet Number Due Date Solution
Homework 1 Sept. 20th Solution 1
Homework 2 Sept. 27th

Weekly lecture summaries
Week 1 Introduction. Definition of a vector space. Examples (column vectors, matrices, functions). First properties (cancellation law, various uniquenesses,...)
Week 2 Definition of a subspace. Examples. Linear combinations. Definition of a basis. Spanning sets and linearly independent sets.
Week 3 Extraction of a basis from a spanning set. Definition of the dimension. The replacement lemma. Bases and dimension. Cardinality of spannning and linearly independent sets. Subspaces of finite dimensional spaces.