PPT-Matrices and MATLAB

Dr Viktor Fedun Automatic Control and Systems Engineering C09 Based on lectures by Dr Anthony Rossiter Examples of a matrix Examples of a matrix Examples of a matrix A matrix can be thought of simply as a table of numbers with a given number of rows and columns. Positive de64257nite matrices ar e even bet ter Symmetric matrices A symmetric matrix is one for which A T If a matrix has some special pr operty eg its a Markov matrix its eigenvalues and eigenvectors ar e likely to have special pr operties as we The following are equivalent is PSD ie Ax for all all eigenvalues of are nonnegative for some real matrix Corollary Let be a homogeneous quadratic polynomial Then for all if and only if for some Rudi Pendavingh TUE Semide64257nite matrices Con Nickolay. . Balonin. . and . Jennifer . Seberry. To Hadi. for your 70. th. birthday. Spot the Difference!. Mathon. C46. Balonin. -Seberry C46. In this presentation. Two Circulant Matrices. Two Border Two Circulant Matrices. Agenda. Leveraging. the . power. . of. . vector. and matrix operations in MATLAB. ®. . . - Demonstration: . Preallocation. and . vectorization. How. . does. MATLAB. ®. store and . provide. Chapter 5. Vectorized Code: Speeding Up MATLAB. Loops are common in most programming languages. Plus side: Are very fast (in other languages) & easy to understand. Negative side: Require a lot of code. Honors Advanced Algebra II/Trigonometry. Ms. . lee. Essential. Stuff. Essential Question: What is a matrix, and how do we perform mathematical operations on matrices?. Essential Vocabulary:. Matrix. 2. What is MATLAB?. MATLAB, which stands for “MATrix LABoratory” is a high-performance language for technical computing. . It integrates computation, visualization, and programming in an easy-to-use environment where problems and solutions are expressed in familiar mathematical notation.. A . matrix. . M. is an array of . cell entries. (. m. row,column. ) . that have . rectangular. . dimensions. (. Rows x Columns. ).. Example:. 3x4. 3. 4. 15. x. Dimensions:. A. a. row,column. A. Introduction. In MATLAB, matrix is chosen as a basic data element . Vector: . Matrix of 1xn or nx1 is know as vector. . row vector column vector . >>p=[1 2 3]; % data assignment for row vector . CS 534 . Fall . 201. 5. What you'll be learning today. MATLAB b. asics (debugging, IDE. ). Operators. Matrix indexing. Image I/O. Image display, plotting. A lot of demos. .... Who am I. Jia-Shen Boon. Ellen Johnson. MathWorks. Overview. MATLAB capabilities and domain areas. Scientific data in MATLAB. HDF5 interface. NetCDF interface. Big Data in MATLAB. MATLAB data analytics workflows. RESTful web service access. ejemplo:. >>x = [1 2 3 ; 4 5 6] . x =. 1 2 3. 4 5 6. Tipo de dato fundamental: arreglo de reales de dos dimensiones (escalar es un arreglo de 1x1). >>i = 10 %nombre a la Python. This Slideshow was developed to accompany the textbook. Precalculus. By Richard Wright. https://www.andrews.edu/~rwright/Precalculus-RLW/Text/TOC.html. Some examples and diagrams are taken from the textbook.. Nicholas C. Surawski. School of Civil and Environmental Engineering, University of Technology Sydney. The problem. Generally, a larger mixing depth will promote vertical mixing/dispersion and improve air quality.