1. Announcements Quiz 2 on Wednesday Jan 27 on sections 1.4, 1.5, 1.7 and 1.8 If you have any grading issues with quiz 1, please discuss with me asap. Test 1 will be on Feb…

1. Some interesting directions in network coding Muriel Médard Electrical Engineering and Computer Science Department Massachusetts Institute of Technology 2. Collaborators…

Slide 1Quantum Computing and Dynamical Quantum Models ( quant-ph/0205059) Scott Aaronson, UC Berkeley QC Seminar May 14, 2002 Slide 2 Talk Outline Why you should worry about…

Slide 11.4 Inverses; Rules of Matrix Arithmetic Slide 2 Properties of Matrix Operations For real numbers a and b,we always have ab=ba, which is called the commutative law…

1. Direct methods for the solution of systems of linear equations 2. Definition of the problemAxbx=vector of independent termscoefficient matrixcoefficient matrixx= 3. If…

Announcements Ï Quiz 3 after lecture. Ï Grades will be updated online (including quiz 3 grades) over the weekend. Please let me know if you spot any mistakes. Ï Exam 2…

1. Notions of equivalence forNotions of equivalence for linear multivariable systems A.I.G. Vardulakis1 and N. Karampetakis1, E. Antoniou2 and S. Vologiannidis3 http://anadrasis.web.auth.gr…

Jordan Canonical Form Recall the following definition: Definition 1. We say that two square matrices A and B are similar provided there exists an invertible matrix P so that…

MATRICES MATRICES· SOME DEFINITIONS MATRIX OPERATIONS ⢠Matrix: A rectangular array of numbers (named with capital ⢠Addition: If matrices A and B are the same size,…

Chapter 1 Systems of Linear Equations Elementary Row Operations (I) Interchange two equations (II) Multiply one equation by a nonzero number (III) Add a multiple of one equation…