1. Using Matrices to SolveSimultaneous Equations 2. Using Matrices to SolveSimultaneous Equations2  2 matrix  a11 a12  A  a21 a22   3. Using Matrices…

1. AnnouncementsIf anyone has not been able to access the class website pleaseemail me at [email protected] anyone didn't get the email sent via the class listserv,…

Announcements Ï Quiz 4 will be on Thurs Feb 18 on sec 3.3, 5.1 and 5.2. Ï "Curved" quiz grades (3 point curve as I mentioned in the email) will be posted by today…

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…

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,…

Slide 1Theory of Computing Lecture 1 MAS 714 Hartmut Klauck Slide 2 Organization: Lectures: Tue 9:30-11:30 TR+20 Fr 9:30-10:30 Tutorial: Fr:10:30-11:30 Exceptions: This week…

Slide 1Algebraic, transcendental (i.e., involving trigonometric and exponential functions), ordinary differential equations, or partial differential equations... ES 84 Numerical…

Slide 18.5 Similarity Slide 2 SIMILARITY The matrix of a linear operator T:V V depends on the basis selected for V that makes the matrix for T as simple as possible a diagonal…

Slide 1 Hard and easy components of collision search in the Zémor- Tillich hash function: New attacks and reduced variants with equivalent security Christophe Petit UCL…

Slide 1 1 Improvements to A-Priori Park-Chen-Yu Algorithm Multistage Algorithm Approximate Algorithms Compacting Results Slide 2 2 PCY Algorithm uHash-based improvement to…