AMS 210: Applied Linear Algebra
November 10, 2009
AMS 210
Topics Today
Problem Set 7
Linear Regression: y = qx and y = qx + r
Nonlinear Regression
Linear Models in Chemistry
AMS 210
Problem Set 7
Grades and solution available on Blackboard.
Mean of 74, me
AMS 210: Applied Linear Algebra
December 1, 2009
AMS 210
Topics Today
Midterm 2
Final Exam
Approximate Solutions
Linear Regression: Previous Method
Linear Regression, Reprise
Linear Regression as Projection
General Linear Regression using Pseudoinverses
A
AMS 210: Applied Linear Algebra
October 20, 2009
AMS 210
Topics Today
Problem Set 7
Eigenvalue/Eigenvector Matrix Decomposition
Eigenvector Matrix-based Analysis of Growth Models
A Theorem On Eigenvalues/Eigenvectors
Solving a System of Equestions by Iter
AMS 210: Applied Linear Algebra
October 27, 2009
AMS 210
Topics Today
Problem Set 5
Midterm 2
Computational Complexity of Solving Systems of Linear
Equations
Solving Tridiagonal Systems
Sparse Matrix Fill-in
Stable Elimination and Roundo Error
Condition N
AMS 210: Applied Linear Algebra
October 29, 2009
AMS 210
Topics Today
Problem Set 8
Midterm 2
Linear Transformations and Ane-Linear Transformations
A Theorem on Linear Transformation
Theorems on Ane Linear Transformations
Examples of Composition
From 2D t
AMS 210: Applied Linear Algebra
November 12, 2009
AMS 210
Topics Today
Problem Set 9
Markov Chain Stable Distributions
Markov Chain Stable Distribution Examples
Absorbing States in Markov Chains
AMS 210
Problem Set 9
This weeks problem set is due next Thu
AMS 210: Applied Linear Algebra
November 17, 2009
AMS 210
Topics Today
Chapter 5. . .
Linear Transformations
Abstract Linear Transformations
Eigenvectors as Natural Coordinate Systems for
Transformations
Eigenfunctions of Linear Transformations
AMS 210
Ch
AMS 210: Applied Linear Algebra
November 19, 2009
AMS 210
Topics Today
Problem Set 10
Denitions: null space, range, vector space
Range and Null Space Examples
Theorems on Null Spaces
More Examples
Range Properties
AMS 210
Due to Thanksgiving, Problem Set
AMS 210: Applied Linear Algebra
November 24, 2009
AMS 210
Topics Today
Problem Set 10
Denitions: null space, range, vector space
Column Space
Linear Dependence and Independence
Determining Linear Dependence
Linear Bases
Rank-Nullity Theorem
Row Space
AMS
AMS 210: Applied Linear Algebra
December 3, 2009
AMS 210
Topics Today
Problem Set 11
Final Exam
Eigenvalue Bases
Eigenvalue Decomposition
Principle Component Analysis
Singular Value Decomposition
AMS 210
Problem Set 11
Not collected or graded. You are res
AMS 210: Applied Linear Algebra
October 20, 2009
AMS 210
Topics Today
Matrix Inverses
Computing Matrix Inverses
Use of Inverse in Multiple Right-Hand Sides
Reversing a Markov Chain
Properties of the Inverse
Fundamental Theorem of Solving Ax = b.
AMS 210
M
AMS 210: Applied Linear Algebra
October 15, 2009
AMS 210
Topics Today
Problem Set 6
Summary of Eigenvalue/vector Process
Characteristic Polynomial Formulae
Gaussian Elimination
Gaussian Elimination Examples
LU Decomposition
Gauss-Jordan Elimination and Pi
AMS 210: Applied Linear Algebra
Fall 2009
Lecture 2 (September 3, 2009)
AMS 210
Matrices, for those who have been wondering .
. will be coming in chapter 2 .
AMS 210
. and to some degree during this lecture .
. because theyre so useful the text cant manag
AMS 210: Applied Linear Algebra
Fall 2009
Lecture 3 (September 8, 2009)
AMS 210
Topics Today
Summary of previous lecture
Some remarks on Maxima
Markov Chains (contd)
Dynamic Models
Underdetermined Linear Systems
Linear Programming
AMS 210
Summary of Previ
AMS 210: Applied Linear Algebra
Fall 2009
September 10, 2009
AMS 210
Topics Today
Problem Set
Matrices
AMS 210
Problem Set
This weeks problem set is due next Thursday, September 17.
Read sections 1.4 and 2.1.
Exercises: 1.3: 16ab, 17ab; 1.4: 1, 8, 9ab; 2.
AMS 210: Applied Linear Algebra
Fall 2009
September 15, 2009
AMS 210
Topics Today
Problem Set 1
Oce Hours
Vector Multiplication
Matrix-Vector Multiplication
AMS 210
Problem Set 1
Grades and solution on Blackboard.
Maximum possible (and achieved) grade of
AMS 210: Applied Linear Algebra
Fall 2009
September 17, 2009
AMS 210
Topics Today
Problem Set 3
First Midterm
Rounding
Matrix Multiplication
Graphs
0-1 Matrices
AMS 210
Problem Set 3
This weeks problem set is due next Thursday, September 24.
Read sections
AMS 210: Applied Linear Algebra
Fall 2009
September 22, 2009
AMS 210
Topics Today
No Class Next Tuesday
First Midterm (Reminder)
Problem Set 2
Textbook Errata
Using TI Calculator Variables (Update)
Directed Graphs
Ranking Track Teams
Parity-bit and Hammin
AMS 210: Applied Linear Algebra
Fall 2009
September 24, 2009
AMS 210
Topics Today
No Class Next Tuesday
Problem Set 4
Matrix Algebra
Transpose of a Matrix and Symmetric Matrices
Scalar Products of Columns as a Similarity Measure
Diagonal Matrices
Rules of
AMS 210: Applied Linear Algebra
October 8, 2009
AMS 210
Topics Today
Problem Set 3 Grades
Problem Set 5
Matrix Norms Properties
Use of Matrix Norm in Error Bounds
Stable Probability Vector for Weather Markov Chain
Eigenvectors and Growth Models
Matrix Par
AMS 210: Applied Linear Algebra
October 13, 2009
AMS 210
Topics Today
Problem Set 4
A General Solution to 2-Equation, 2-Variable Linear Systems
Cramers Rule
Examples of Cramers Rule
Eigenvectors/Eigenvalues, Redux
AMS 210
Problem Set 4
Grades and solution
AMS 210: Applied Linear Algebra
Fall 2009
AMS 210
Contact Information
Dustin Brody
Websites: Blackboard & http:/www.ams.sunysb.edu/
undergraduate/undergrad/AMS210Webpage.html
Email: ams210@parsoma.net
Oce Hours: TBA
Text: A Unied Introduction to Linear Al