What I want to do in this video is explore the notion of a matrix outside of the context of a surprisingly good movie that involves Keanu Reeves. And it's actually the first of three. I guess we could call the three movies combined The Matrices. And there is a relationship between the movie, which is about a virtual reality constructed by super-smart computers, and the notion of what a matrix is when you study it in mathematics, or when you study it in computer science. And the connection really
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him the way; Descartes found out that his own senses misled him to dishonesty so in concordance he only believes what he sees. Neo however has many misconceptions being trapped in his own mirage cave like matrix of a world; trying to make sense of what is real and what is not. In the matrix no one ever experienced pain or any other physical ailments because how can you run off of a building and not die? How can you get shot at a million times in one scene and not die? For Neo, the predominate
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splinter in your mind, driving you mad. What makes the Wachowskis' 1999 film, The Matrix, an action film isn't just its exhilarating visual effects and the innovative "bullet time" that loaned the audience a virtual eye to the world of the Matrix, where the laws of physics can be bent or broken. Nor is it just the fighting sequences of kung fu and the impossible acrobatics of a hero "plugged-in". The Matrix is an action film because its actions speak louder than its words. It is a film where
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dimensions) by C = A + B.. The sum is defined by adding entries with the same indices [pic] over all i and j. Example: [pic] Subtraction of Matrices Subtraction is performed in analogous way. Example: [pic] Scalar multiplication To multiply a matrix with a real number, we multiply each element with this number. Example: [pic] Multiplication of a row vector by a column vector This multiplication is only possible if the row vector and the column vector have the same number of elements. To multiply
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SCHAUM’S outlines SCHAUM’S outlines Linear Algebra Fourth Edition Seymour Lipschutz, Ph.D. Temple University Marc Lars Lipson, Ph.D. University of Virginia Schaum’s Outline Series New York Chicago San Francisco Lisbon London Madrid Mexico City Milan New Delhi San Juan Seoul Singapore Sydney Toronto Copyright © 2009, 2001, 1991, 1968 by The McGraw-Hill Companies, Inc. All rights reserved. Except as permitted under the United States Copyright Act of 1976, no part of this
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| | The matrix equation above is equivalent to the following homogeneous system of equations 1 x1 | +1 x2 | = | 0 | 1 x1 | +0 x2 | = | 0 | | | We now transform the coefficient matrix of the homogeneous system above to the reduced row echelon form to determine the solution space. 1 | 1 | 1 | 0 | | can be transformed by a sequence of elementary row operations to the matrix 1 | 0 | 0 | 1 | | The reduced row echelon form of the augmented matrix is 1 | 0
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Department of Mathematical Sciences MATH103 Introduction to Linear Algebra Lecturer: Prof. Victor Goryunov Office: Room 519, Mathematical Sciences Building; email: goryunov@liv.ac.uk Lectures: Monday 1pm and 2pm in Lecture Theatre B, Central Teaching Hub (no. 221 on the Campus Map), Tuesday 13.00 in Lecture Theatre (room 101), Electrical Engineering Building (no. 235 on the map). Attendance at lectures is compulsory. (See the Student Charter.) Make sure you scan your card. Tutorials: Normally on
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* 1. The Matrix 1999 Directors: Andy Wachowski, Lana Wachowski Writers: Andy Wachowski, Lana WachowskiStars: Keanu Reeves, Laurence Fishburne and Carrie-Anne Moss * Thomas A. Anderson is a man living two lives. By day he is an average computer programmer and by night a hacker known as Neo. Neo has always questioned his reality, but the truth is far beyond his imagination. Neo finds himself targeted by the police when he is contacted by Morpheus, a legendary computer hacker branded a terrorist
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Linear Least Squares Suppose we are given a set of data points {(xi , fi )}, i = 1, . . . , n. These could be measurements from an experiment or obtained simply by evaluating a function at some points. You have seen that we can interpolate these points, i.e., either find a polynomial of degree ≤ (n − 1) which passes through all n points or we can use a continuous piecewise interpolant of the data which is usually a better approach. How, it might be the case that we know that these data points should
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previous commands, which you can then edit or re-execute. Type a letter or part command followed by the ( key, and the last instance of a matching command will be recalled. 1. Basic input and display Matlab stands for MATrix LABoratory, and was originally written to perform matrix algebra[2]. It is very efficient at doing this, as well as having the capabilities of any normal programming language. In most instances,
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