Midterm: here
Solutions: here
Practice Final: here
Solutions: here

Week #	Topic	Reading	Homework
Adv Linear Algebra
1.	Review of Linear Algebra	Lecture 1 notes
	Change of Basis, Diagonilzation, Similar Matrices	Lecture 2 notes
2.	Diagonilzation, Similar Matrices, HW2	Lecture 3 notes	Homework 1
	Characteristic Polynomial and Permutations	Lecture 4 notes
	General Difference Equation, Markov Matrix	Lecture 5 notes
3.	Perron's Thereom, Postive Markov Matrices	Lecture 6 notes	Homework 2
	Google Page Rank	Lecture 7 notes
	dot procut, norm, orthogonaility	Lecture 8 notes
4.	The Four Fundametal Spaces	Lecture 9 notes	Homework 3
	Projections	Lecture 10 notes
	Projections cont., Linear Regression	Lecture 11 notes
5.	Linear Regression cont., Spectral Theorem	Lecture 12 notes	Homework 4
	Spectral Theorem cont.	Lecture 13 notes
	Quadratic Forms	Lecture 14 notes
6.	Cardinality	Lecture 15 notes	Homework 5
	Adjacency Matrix, Laplacian	Lecture 16 notes
	Graph Connectivity, clustering, Fiedler eigenvalue	Lecture 17 notes
7.	HW Help, Polynomial Spaces	Lecture 18 notes	Homework 6
	SVD	Lecture 19 notes
8.	A^TA, SVD existence theorem	Lecture 20 notes	Homework 7
	Rank 1 decomposition, Reduced SVD	Lecture 21 notes
	Geometry of SVD	Lecture 22 notes
9.	Rank Approximation, Matrix Norms	Lecture 23 notes	Homework 8
	Eckard Young Theorem, best fit spaces	Lecture 24 notes
	PCA	Lecture 25 notes	Homework 9