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
Weekly lecture summaries
||Introduction. Definition of a vector space. Examples (column vectors, matrices, functions). First properties (cancellation law, various uniquenesses,...)
||Definition of a subspace. Examples. Linear combinations. Definition of a basis. Spanning sets and linearly independent sets.
||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.