A SAMPLE RESEARCH PAPER/THESIS/DISSERTATION ON ASPECTS OF ELEMENTARY LINEARY ALGEBRA by James Smith B.S.‚ Southern Illinois University‚ 2010 A Research Paper/Thesis/Dissertation Submitted in Partial Fulfillment of the Requirements for the Master of Science Degree Department of Mathematics in the Graduate School Southern Illinois University Carbondale July‚ 2006 (Please replace Name and Year with your information and delete all instructions) Copyright by NAME‚ YEAR All Rights Reserved
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Symmetric Endomorphisms and Matrices . . . . . 1.4.4 Gram Matrix of a Family of Vectors . . . . . . . . . 1.4.5 Orthogonal Projections and Matrices . . . . . . . . 1.4.6 Least Squares Problem . . . . . . . . . . . . . . . . 1.4.7 Hyperplanes . . . . . . . . . . . . . . . . . . . . . . 1.5 Symmetric Matrices and Endomorphisms . . . . . . . . . . 1.5.1 Definitions . . . . . . . . . . . . . . . . . . . . . . . 1.5.2 Diagonalization of a Symmetric Matrix . . . . . . . 1.5.3 Positive and Negative Definite Matrices
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multiplication matrix Construct a multiplication matrix Reflect on the patterns they observe in the matrix Material For each group 1 cm grid paper full sheets of paper glue scissors For the class 36" X 48" butcher paper Preparation Make approximately 10 copies of 1 cm grid paper on colored paper for each group of students. Cut one piece of 36" X 48" butcher paper. Start the multiplication matrix by placing four or five rectangles on the matrix. Procedure
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.. 15 Matrices .................................................................................................................................................... 27 Matrix Arithmetic & Operations .............................................................................................................. 33 Properties of Matrix Arithmetic and the Transpose ................................................................................. 45 Inverse Matrices and Elementary Matrices ............
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Introduction to Matlab: Application to Electrical Engineering Houssem Rafik El Hana Bouchekara Umm El Qura University (version 1‚ Februray 2011) 1 Contents 1 CHAPTER 1 ............................................................................................................................................ 7 1.1 TUTORIAL LESSONS 1 ................................................................................................................................ 7 1.1.1 1.2 STARTING AND QUITTING
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description‚ the flowchart‚ the file structures‚ and the selected financial data below‚ specify an audit objective (that can be achieved using ACL™) for each management assertion presented in the matrix below. For each audit objective‚ briefly describe the ACL test procedure. As an example‚ the first row in the matrix has been completed for you. Selected Bradmark Financial Data Sales 5‚379‚996.96 Accounts Receivable 4‚752‚257.70 Allowance for Doubtful Accounts (.02 x Sales)
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eye in real life. Avant garde films are an example of extreme formalism. In the movie The Matrix‚ color‚ shots‚ and angles are used to illustrate the idea of formalism. Throughout the movie‚ color is used to add depth and help establish the mood in the scene. In all of the scenes inside the matrix a lens filter is used to cast the scene in a green tint reminiscent of the green numbers of the matrix code. In all of the scenes in the real world there is an overwhelming bluish tint. The color blue
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In Descartes’ Meditations on First Philosophy‚ Plato’s The Allegory of the Cave‚ and the synopsis of The Matrix‚ there are many similarities as well as a few differences. One of the most notable differences that can be observed is that Meditations in First Philosophy begins and ends in the same reality‚ whereas The Allegory of the Cave and The Matrix begin with the deception of an alternate reality. Another difference that can be detected is the presence of forms in The Allegory of the Cave‚ which
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The Matrix depicts a late twentieth century version of Earth where machines have taken over and are using humans as a power source‚ while having them experience life via a virtual simulation called the Matrix. The protagonist of the story Neo‚ or the One‚ has been recently awakened from the Matrix and is destined to free humanity. Following its 1999 release‚ a multitude of articles have been written about the film‚ each analyzing the meaning and implications of it in different ways. In one of these
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company - Employee dissatisfaction Let’s say that you have described the strategic situation of this very simple example sufficiently. SWOT-Matrix Now you create a so-called SWOT-Matrix in order to visualize the deduced strategy blocks in a very clear and concise form. The matrix could look like this: The combination of letters in the different matrix fields represent the corresponding combination of variables. The combinations will help to find the following questions: 1. SO – Strenghts/Opportunities
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