Practive Exam: here

Week #	Topic	Reading	Homework
Abstract Linear Algebra
1.	Vector Spaces and Subspaces	Lecture 1 notes (annotated).
	Subspaces	Lecture 2 notes (annotated).
2.	Sums, Directed Sums	Lecture 3 notes (annotated).	Homework 1 Worksheet 1
	Spanning Sets, Linearly Independent Sets	Lecture 4 notes (annotated).
	Bases and Dimension	Lecture 5 notes (annotated).
3.	Dimensions of subspaces	Lecture 6 notes (annotated).	Homework 2 Worksheet 2
	Infinite Dimensionsal	Lecture 7 notes (annotated).
	Linear Transformation, Null Space, Range	Lecture 8 notes (annotated).
4.	Linear Transformation, Null Space, Range cont.	Lecture 9 notes (annotated).	Homework 3 Worksheet 3
	Linear Transformation: Matrix Representation	Lecture 10 notes (annotated).
	Algebra of Linear Transformations	Lecture 11 notes (annotated).
5.	Example?	Lecture 12 notes (annotated).	Homework 4 Worksheet 4
	Inverses, Isophormism	Lecture 13 notes (annotated).
	Linear Transformation: Change of Coordinates	Lecture 14 notes (annotated).
6.	Determinants	Lecture 15 notes (annotated).	Homework 5 Worksheet 5
	Denumerability	Lecture 16 notes (annotated).
	Invariant Subspaces, Eigenvalues and Eigenvectors	Lecture 17 notes (annotated).
7.	Eigenspaces, Diagonalizability	Lecture 18 notes (annotated).	Homework 6 Worksheet 6
	The Characteristic Polynomial	Lecture 19 notes (annotated).
8.	Linear Operations, Generalized Eigenspaces	Lecture 20 notes (annotated).	Homework 7 Worksheet 7
	Generalized Eigenspaces cont.	Lecture 21 notes (annotated).
	Inner Product Spaces	Lecture 22 notes (annotated).
9.	Propeties of Norm, Gram-Schmidt	Lecture 23 notes (annotated).	Homework 8 Worksheet 8
	Orthogonal Compliment	Lecture 24 notes (annotated).