MATH 223: Linear Algebra
News
 Solution 1 and Homework 2 now posted
 Friday office hour moved to 12:001:00
 First Homework Assignment is available
 Tuesday office hour moved to 8:309:30
Basic Information
Homework Assignments
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. 
