41. The Math Forum - Math Library - Matrices The Math Forum s Internet Math Library is a comprehensive catalog of Web sites and Web pages relating to the study of mathematics. This page contains sites http://mathforum.org/library/topics/matrices/

Browse and Search the Library Home Math Topics Algebra Linear Algebra : Matrices Library Home Search Full Table of Contents Suggest a Link ... Library Help Selected Sites (see also All Sites in this category Linear and Multilinear Algebra; Matrix Theory (Finite and Infinite) - Dave Rusin; The Mathematical Atlas A short article designed to provide an introduction to linear and multilinear algebra and matrix theory. As presented to engineers and as the subject of much numerical analysis, this subject is Matrix Theory. To an algebraist or geometer, it is the theory of Vector Spaces. Linear algebra, sometimes disguised as matrix theory, considers sets and functions which preserve linear structure. In practice this includes a very wide portion of mathematics; thus linear algebra includes axiomatic treatments, computational matters, algebraic structures, and even parts of geometry; moreover, it provides tools used for analyzing differential equations, statistical processes, and even physical phenomena. History, applications and related fields and subfields; textbooks, reference works, and tutorials; software and tables; other web sites with this focus. more>> Matrices and Determinants - MacTutor Math History Archives Linked essay describing the history of matrices and determinants from the 2nd century B.C. through the early 20th century, with 13 references (books/articles).

42. Algebra In The Real World - Matrices Algebra in the Real World matrices. matrices. Crop Rotation. Use matrix multiplication to create a crop rotation plan. http://www.thefutureschannel.com/algebra/matrices.php

real world movies animals commerce design environment ... online school edition subscriber login Matrices Crop Rotation Use matrix multiplication to create a crop rotation plan. Get the Lesson Problem Solving Mix and Match Online School Edition The Real World Update Get our latest movies and web updates first! Sign up to receive our weekly newsletter. Email About Us Contact Us Site Map

43. Probabilistic Identification Of Bacteria For Windows The program makes use of Excel files to store identification matrices and The program is designed to use probabilistic identification matrices that have http://www.som.soton.ac.uk/staff/tnb/pib.htm

Probabilistic Identification of Bacteria for Windows Current Version 1.9.2 The PIBWin programme provides probabilistic identification of unknown bacterial isolates against identification matrices of known strains. The programme has three major functions: the identification of an unknown isolate the selection of additional tests to distinguish between possible strains if identification is not achieved the storage and retrieval of results It also has some utility functions for assessing the usefulness of identification matrices and for converting matrices into different formats. The program makes use of Excel files to store identification matrices and archived results to achieve this, although other file formats are supported to allow backwards compatibility with the DOS version of the programme. The program is designed to use probabilistic identification matrices that have either published in the literature or created by the user. The matrices that are provided with PIB have been taken from the literature. These matrices have been typed in from the publication describing them and users should refer to these publications for full details of the methods used when testing isolates. Some screenshots of PIBWin, click on each image to obtain a higher resolution view.

44. Part Two: Rotation Matrices If you manage to pull that off, make sure to let us know. Meanwhile, I ll present a way to do the rotations with matrices. http://www.cprogramming.com/tutorial/3d/rotationMatrices.html

Web cprogramming.com Starting out Getting Started Tutorials Quizzes Moving on Advanced Tutorials Articles Challenges Contests ... Jobs Tools What do I need? Compilers Editors Debuggers Resources Source Code Syntax Reference Snippets Links Directory ... Function Lookup Questions Programming FAQ Message Board Ask an Expert Email Rotations in Three Dimensions Part Two: Rotation Matrices Written by: Confuted Okay, so I assume going into this tutorial that you know how to perform matrix multiplication. I don't care to explain it, and it's available all over the Internet. However, once you know how to perform that operation, you should be good to go for this tutorial. The way presented for doing rotations in the last tutorial wasn't really a good one. It works just fine in two dimensions, but as soon as you want to rotate around the X or Y-axes, it becomes more difficult. Sure, it's easy to make equations that will represent a rotation on any one of those axes, but just go ahead and try to make equations that will represent changes on three axes at once. If you manage to pull that off, make sure to let us know. Meanwhile, I'll present a way to do the rotations with matrices. Matrices might seem scary, especially to someone who has never used them before. However, they really aren't too difficult to use. They're also very powerful. The first thing to note is that it is possible to use a vector to specify a point in 3d space. Basically, every point is a displacement from the origin by a certain amount, which is described by the vector. Vectors are useful for lots of other things as well, and perhaps someday I'll write about some of those. Meanwhile, we'll just use them for storing points.

45. Graph Theory Lesson 7 Look at the adjacency matrices of a few more graphs. Notice that since in our adjacency matrices the diagonal entries are zero aii and ajj are zero so http://www.utc.edu/~cpmawata/petersen/lesson7.htm

Graph Theory Lessons Lesson7: Adjacency Matrices The adjacency matrix of a graph is an n x n matrix A = (a i,j in which the entry a i,j if there is an edge from vertex i to vertex j and is if there is no edge from vertex i to vertex j . By the way, a matrix with only zeros and ones as entries is called a (0,1) matrix. In the applet below draw a few graphs and the applet will display the adjacency matrix of a graph you draw. A graph and its adjacency matrix To use the program Petersen to see the adjacency matrix of a graph , you should first get the program to draw the graph and then click Properties and then Adjacency Matrix Look at the adjacency matrix of the null graphs N , N , N . Describe the adjacency matrix of a null graph. Look at the adjacency matrix of the complete graphs K , K , K . Describe the adjacency matrix of a complete graph. Look at the adjacency matrices of a few more graphs. Give an interpretation for the sum of the entries in row i of an adjacency matrix. Suppose you are told that the adjacency matrix for a simple graph has 5 rows and 5 columns. Suppose you are also told that each row contains three ones and two zeros, why is this impossible?

46. Management By Matrices Management by matrices. Mohit Kishore s blog on management. Sunday, March 09, 2008. XLRI Placements XLRI Placements. Posted by Mohit Kishore at 1322 0 http://managementbymatrices.blogspot.com/

skip to main skip to sidebar Management by Matrices Mohit Kishore's blog on management. Sunday, March 09, 2008 XLRI Placements XLRI Placements Posted by Mohit Kishore at 0 comments Links to this post Labels: B-school Monday, March 03, 2008 The lives of others The film is set in the erstwhile East Germany The Conversation Wikipedia articles on both films: The lives of others The conversation Posted by Mohit Kishore at 0 comments Links to this post Labels: Movie Review Saturday, February 16, 2008 How to make wealth. How to make wealth. Posted by Mohit Kishore at 0 comments Links to this post Labels: Interesting Links Tuesday, January 22, 2008 An evolutionary view of leadership Yesterday, The Hindu Business Line carried my latest column in which I explore the relationship of leadership to various kinds of wages. Link: An evolutionary view of leadership Full text follows: Republic Republic Republic Book I Leaders and wages Servant leaders In conclusion, it makes sense to allow and embrace both wage oriented and non-wage oriented leadership, provided that the extent of wage orientation in the individual matches with the leadership role that is on offer. Previously published articles: Leaderless Groups - a case against hierarchy Free riding and social loafing Decision making in groups The networked marketplace ... The long tail opportunity Posted by Mohit Kishore at 0 comments Links to this post Labels: Leadership Published articles Saturday, January 12, 2008

47. SPSS Compatibility Matrices Welcome to SPSS Compatibility matrices. View the Product Support matrices . Amos Analyzer AnswerTree Clementine DecisionTime Dimensions http://support.spss.com/ProductsExt/productOSComp.asp

Welcome to SPSS Compatibility Matrices View the Product Support Matrices Amos Analyzer AnswerTree ... Investor Relations SPSS Inc. Headquarters, 233 S. Wacker Drive, 11th floor Chicago, Illinois 60606

48. Matrices - GNU Scientific Library -- Reference Manual matrices are defined by a gsl_matrix structure which describes a generalized slice of a block. Like a vector it represents a set of elements in an area of http://gnu.j1b.org/software/gsl/manual/html_node/Matrices.html

: Vector and Matrix References and Further Reading , Previous: Vectors , Up: Vectors and Matrices 8.4 Matrices Matrices are defined by a structure which describes a generalized slice of a block. Like a vector it represents a set of elements in an area of memory, but uses two indices instead of one. The structure contains six components, the two dimensions of the matrix, a physical dimension, a pointer to the memory where the elements of the matrix are stored, data , a pointer to the block owned by the matrix block , if any, and an ownership flag, owner . The physical dimension determines the memory layout and can differ from the matrix dimension to allow the use of submatrices. The structure is very simple and looks like this, fortran stores arrays in column-major order. The number of rows is . The range of valid row indices runs from to . Similarly is the number of columns. The range of valid column indices runs from to . The physical row dimension tda , or trailing dimension , specifies the size of a row of the matrix as laid out in memory. For example, in the following matrix

49. Winterschool On Hierarchical Matrices Hierarchical matrices can be a useful tool for the treatment of integral operators as well as the solution of linear systems arising in the discretisation http://www.mis.mpg.de/scicomp/winterschool/

Winterschool on Hierarchical Matrices Organizer Max-Planck-Institute for Mathematics in the Sciences Leipzig Speakers Prof. Dr. Dr. h.c. W. Hackbusch and Dr. Lars Grasedyck Topic Hierarchical Matrices can be a useful tool for the treatment of integral operators as well as the solution of linear systems arising in the discretisation of elliptic partial differential equations. Moreover, the representation of matrices in the hierarchical matrix format is suitable for the efficient solution of matrix equations. The aim of this winterschool is to teach the necessary theoretical foundations for hierarchical matrices, but most of all the efficient implementation of the algorithms. The practical realisation on the computer will be done during the exercise courses in the afternoons. The participants will use the HLib library in order to assemble and solve BEM and FEM systems. Lecture notes are available in printed and electronic form. Local organisation is done by Lars Grasedyck Florian Drechsler Important facts Deadline for registration: 31.1.2008

50. Lenovo Support & Downloads - Driver Matrices (Most Common Files) Driver matrices (Most common files) Driver matrices (Most common files). Applicable countries and regions. Download the latest BIOS, drivers, http://www-307.ibm.com/pc/support/site.wss/DRVR-MATRIX.html

Country / region Select English Change Home Products My account ... Support phone list Related links Accessories and upgrades Business Partner support Training Find a service provider Driver matrices (Most common files) Applicable countries and regions Select your product below: Products 3000 Family desktops 3000 Family notebooks Ethernet Adapters IBM PC ... ThinkVision Applicable countries and regions Worldwide Back to top Document id: DRVR-MATRIX Last modified: 2008-02-01 Document options Printable version Take our survey Help us improve your visit Printable version Privacy Contact var SA_ID="lenovo;lenovo";

51. 12th International Workshop On Matrices And Statistics The 12th International Workshop on matrices and Statistics (IWMS2003) will be held at the University of Dortmund (Dortmund, Germany) on August 5-8. http://www.statistik.uni-dortmund.de/IWMS/main.html

Purpose and Location Connexions Organizing Committees Previous Workshops ... Workshop Programme Final Registration Paper Submission Accomodation th International Workshop on Matrices and Statistics IWMS-2003 Dortmund, Germany, August 5-8, 2003 home th International Workshop on Matrices and Statistics IWMS 2003 Purpose and Location The 12th International Workshop on Matrices and Statistics (IWMS-2003) will be held at the University of Dortmund (Dortmund, Germany) on August 5-8, 2003 with the purpose to foster the interaction of researchers in the interface between statistics and matrix theory. Organizing Committees How to reach Dortmund University? From Dortmund Central Station Dortmund University You can find a map of the university (in german) under layout of the university The workshop will take place in Building 13. Workshop Programme The Workshop Programme can be found here Previous Workshops This Workshop in Germany will be the 12th in a series. The 11th International Workshop on Matrices and Statistics was held at the Danish Technical University in Lyngby, Denmark: 29-31 August 2002. Forthcoming Workshop The 13th International Workshop on Matrices and Statistics (IWMS-2004) in celebration of I. Olkin's 80th birthday will be held in the Bedlewo, about 30 km. (20 miles) south of Poznan, Poland, from 19 to 21 August 2004.

52. EBI Help: Matrices This can then be used to produce tables(scoring matrices) of the relative frequencies with which amino acids replace each other over a short evolutionary http://www.ebi.ac.uk/help/matrix_frame.html

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53. Matrices And Linear Algebra - Wolfram Mathematica Mathematica automatically handles both numeric and symbolic matrices, seamlessly switching among large numbers of highlyoptimized algorithms. http://reference.wolfram.com/mathematica/guide/MatricesAndLinearAlgebra.html

baselang='MatricesAndLinearAlgebra.en'; PreloadImages('/common/images2003/link_products_on.gif','/common/images2003/link_purchasing_on.gif','/common/images2003/link_forusers_on.gif','/common/images2003/link_aboutus_on.gif','/common/images2003/link_oursites_on.gif'); DOCUMENTATION CENTER SEARCH Mathematica Mathematics and Algorithms Matrices and Linear Algebra Mathematica automatically handles both numeric and symbolic matrices, seamlessly switching among large numbers of highly-optimized algorithms. Using many original methods, Mathematica can handle numerical matrices of any precision, automatically invoking machine-optimized code when appropriate. Mathematica handles both dense and sparse matrices, and can routinely operate on matrices with millions of entries. automatically operate element-wise: a b c d a c b d Dot scalar dot product Cross Norm Total Normalize ... Table construct a matrix from an expression IdentityMatrix DiagonalMatrix RotationMatrix HilbertMatrix ... Part a part or submatrix: m i j ; resettable with m i j x Dimensions Take Drop Diagonal ... SchurDecomposition Matrix Tests MatrixQ HermitianMatrixQ PositiveDefiniteMatrixQ Displaying Matrices MatrixForm display a matrix in 2D form MatrixPlot visualize a matrix using colors for elements SparseArray construct a sparse matrix from positions and values ArrayRules Normal CoefficientArrays Data Formats "CSV"

54. Matrices And Determinants This chapter shows you how to use matrices and determinants to solve applications in science and engineering. http://www.intmath.com/Matrices-determinants/Matrix-determinant-intro.php

This is interactive mathematics where you learn math by playing with it! home sitemap LiveMath info Flash highlights ... feedback Matrices and Determinants By M Bourne Why study the Matrix...? A matrix is simply a set of numbers arranged in a rectangular table. We can add, subtract and multiply matrices together, under certain conditions. We use matrices to solve simultaneous equations , that we met earlier. Matrices are used to solve problems in: electronics statics robotics linear programming optimisation intersections of planes genetics We see several of these applications throughout this chapter, especially in Matrices and Linear Equations For large systems of equations, we use a computer to find the solution. This chapter first shows you the basics of matrix arithmetic, and then we show some computer examples (using Scientific Notebook and LiveMath) so that you understand what the computer is doing for you. You can skip over the next part if you want to go straight to matrices Determinants A determinant of a matrix represents a single number. We obtain this value by multiplying and adding its elements in a special way. We can use the determinant of a matrix to solve a system of simultaneous equations.

55. Introduction To Social Network Methods; Chapter 5: Using Matrices It is also possible to represent information about social networks in the form of matrices. Representing the information in this way also allows the http://faculty.ucr.edu/~hanneman/nettext/C5_ Matrices.html

Introduction to social network methods 5. Using matrices to represent social relations This page is part of an on-line text by Robert A. Hanneman Department of Sociology University of California, Riverside) and Mark Riddle (Department of Sociology, University of Northern Colorado). Feel free to use and distribute this textbook, with citation. Your comments and suggestions are very welcome. Send me e-mail. Contents of this chapter: What is a matrix? The "adjacency" matrix Matrix permutation, blocks, and images Doing mathematical operations on matrices ... Study questions Introduction Graphs are very useful ways of presenting information about social networks. However, when there are many actors and/or many kinds of relations, they can become so visually complicated that it is very difficult to see patterns. It is also possible to represent information about social networks in the form of matrices. Representing the information in this way also allows the application of mathematical and computer tools to summarize and find patterns. Social network analysts use matrices in a number of different ways. So, understanding a few basic things about matrices from mathematics is necessary. We'll go over just a few basics here that cover most of what you need to know to understand what social network analysts are doing. For those who want to know more, there are a number of good introductory books on matrix algebra for social scientists. table of contents What is a matrix?

56. Library Of Hadamard Matrices I conjecture that the number of Inequivalent Hadamard matrices of order 36 which are regular (ie have constant row and column sum) is over 100. http://www.uow.edu.au/~jennie/hadamard.html

Conjectures Made by Me and Others (Please indicate your claims)) The first unresolved case is order 32 for which I suspect there are over 33,000 Inequivalent Hadamard Matrices. There are certainly hundreds and probably thousands of Inequivalent Hadamard matrices for orders 36, 44, 52, ..... I conjecture that as the power of two increases (eg 32 is 2^5 while 36 is 2^2x9) the number of inequivalent cases increases dramatically. I conjecture that the number of Inequivalent Hadamard Matrices of order 36 which are regular (ie have constant row and column sum) is over 100. I conjecture that there are tens of Reqular Inequivalent Hadamard Matrices of order 36 which are not equivalent to a symmetric Reqular Hadamard Matrices of order 36. Matrices of Order 16 Marshall Hall's five inequivalent matrices ( Some Constructions for order 20 Three inequivalent matrices ( ). The first is Paley I Construction, the second and third are Tonchev iii and 1v. Noburo Ito's 60 inequivalent matrices of order 24 see "Neil Sloane 's Library List".

57. CTAP IV -- Middle School Math Project -- Matrices The matrices are a series of online tables of electronic and technology resources supporting California middle school math content standards for grades 6, http://www.ctap4.org/math/matrix.shtml

Middle School Math Matrices MSMP The matrices are a series of online tables of electronic and technology resources supporting California middle school math content standards for grades 6, 7 and Algebra 1. The resources align to the two California state-adopted middle school textbook series of McDougall-Littell and Prentice Hall. The Grade 6 matrix also aligns to Harcourt and Scott Foresman. Online Matrices Palm Springs Unified School District teachers have used the CTAP Region IV matrices to align technology with their 6 - 8 grade McDougal-Littell textbook chapters. They have also added their teacher-created lessons and other resources that they have compiled. PSUSD Grade 6 resources PSUSD Grade 7 resources Grade 6 Matrix Grade 7 Matrix ... About CTAP IV MSMP last updated on 03-Mar-2008 15,163 visits (13 today, 13 this week, 779 this month, 3,259 this year)

58. ASMs: Conference For Robbins' 60th Birthday A conference in honour of David P. Robbins. IDA Center for Communications Research, Princeton, NJ, USA; 2930 June 2003. http://www.haverford.edu/math/lbutler/RobbinsConf.html

ALTERNATING SIGN MATRICES A Conference in Honor of David P. Robbins June 29-30, 2003 Location: About a hundred mathematicians joined us at the IDA Center for Communications Research in Princeton , where Dave Robbins has worked for 23 years. Our new building is at 805 Bunn Drive in Princeton, NJ. The closest airports are Newark and Philadelphia, each about an hour from Princeton. To get to CCR-P from US 1 near Princeton, take Harrison Street north. One mile after the intersection with Nassau Street in downtown Princeton, fork slightly right onto Bunn Drive. After three quarters of a mile, turn right into CCR-P. The conference opened on Sunday at 10:45 am and closed on Monday at noon. Talks: The speakers pitched their talks to mathematicians who are not experts on alternating sign matrices. For an introduction to alternating sign matrices, take a look at Dave Robbins's 1991 paper in the Mathematical Intelligencer, "The story of 1, 2, 7, 42, 429, 7436, ...", or David Bressoud's 1999 paper with Jim Propp in the Notices of the American Mathematical Society, "How the Alternating Sign Matrix Conjecture Was Solved" . The titles below are linked to the speakers' abstracts. REGRETFULLY CANCELLED Richard Stanley

59. MathHelp Notebook On Matrices When can we multiply two matrices together? If you feel confident with matrices already, then feel free to skip to the exit quiz at the end. http://www.ucl.ac.uk/Mathematics/geomath/level2/mat/MHma.html

60. Open Question: Deterministic UUP Matrices « What’s New I will define exactly what UUP matrices (the UUP stands for “uniform uncertainty principle“) are later in this post. For now, let us just say that they are http://terrytao.wordpress.com/2007/07/02/open-question-deterministic-uup-matrice

var gaJsHost = (("https:" == document.location.protocol) ? "https://ssl." : "http://www."); document.write(unescape("%3Cscript src='" + gaJsHost + "google-analytics.com/ga.js' type='text/javascript'%3E%3C/script%3E")); Updates on my research and expository papers, discussion of open problems, and other maths-related topics. By Terence Tao Home About Career advice On writing ... Subscribe to feed Open question: deterministic UUP matrices 2 July, 2007 in math.MG math.NA question Tags: compressed sensing derandomisation random matrices RIP ... UUP This problem in compressed sensing is an example of a derandomisation problem : take an object which, currently, can only be constructed efficiently by a probabilistic method, and figure out a deterministic construction of comparable strength and practicality. (For a general comparison of probabilistic and deterministic algorithms, I can point you to these slides by Avi Wigderson uniform uncertainty principle orthogonal matrices , in which the columns are locally almost orthogonal rather than globally perfectly orthogonal. Because of this, it turns out that one can pack significantly more columns into a UUP matrix than an orthogonal matrix, while still capturing many of the desirable features of orthogonal matrices, such as stable and computable invertibility (as long as one restricts attention to sparse or compressible by de Vore for UUP matrices with small sparsity parameter.

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