| | 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
Words: 256 - Pages: 2
The Matrix, Plato, and Descartes Whether one elects for the “red pill of truth”, or the “blue pill of deception”, the battle for the human mind is being waged. Similarities between the motion picture, The Matrix, “The Allegory of the Cave” from Plato, the Republic, Book VII, 514A1-518D8, and Meditation 1 of The Things of Which We May Doubt, from Rene’s Descartes, Meditations on the First Philosophy 1641, include the existence of the opposing force that seeks to deceive the human (mind) soul,
Words: 994 - Pages: 4
ELEC C4612 Po ower Sys stem Ana alysis Midsess sion SOL LUTION ( (Session 1, 2016) n QUES STION 1 For the system sho own in Figu 1, comp ure pute the matrix. T system has an off-nominal The tap chan nging transformer betw ween buses 1 and 2 wi a tap setting of 1.03 The line b ith 3. between buses 1 and 4 has half line charging sus sceptance o 0.25 pu at each end. There is a mutual of a . ng u d own. couplin of 0.15 pu between lines 2-3 and 4-3 as sho 2 t =
Words: 760 - Pages: 4
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
Words: 1033 - Pages: 5
Composition and Inverse Functions provide an opportunity for manipulating expressions using different values. These values can help business owners, data analysts, and even the consumer compare rates and data. Functions also extend independent (x) and dependent (y) variables by graphing in the coordinate plane and creating a visual demonstration of the relationship. The following functions will be used in the required problems. f(x) = 2x+5 g(x) = x2+3 h(x) = (7-x)/3 The first task is to compute
Words: 759 - Pages: 4
John Grassi In the year 2000, a one hour rental of Zipcar would be worth approximately $9.54. This number was created through a combination data collected by The Federal Highway Administration (FHWA) and the United States Bureau. According to the FHWA, ownership and operating costs of an intermediate size vehicle in the year 2000 averaged $.469/mile. This number is broken down into 8 different costs per mile: 1. Repairs- 0.9 cents 2. Depreciation- 16.4 cents 3. Fuel Tax – 1.9 cents 4. Fuel
Words: 357 - Pages: 2
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
Words: 1133 - Pages: 5
A PHILOSPHICAL ASPECT OF THE MOVIE MATRIX The movie Matrix is full of deep metaphors, philosophical connections and ideological reference with a well constructed fiction. In that view, there are many details more than any science-fiction movie such as characters, objects which are used in the movie, thoughts and philosophy. This movie is like a harmony between thoughts of every historical period. Firstly, every character name is chose especially in this movie. For example, In Greek mythology
Words: 813 - Pages: 4
an abbreviation for "matrix laboratory."While other programming languages mostly work with numbers one at a time, MATLAB is designed to operate primarily on whole matrices and arrays. All MATLAB variables are multidimensional arrays, no matter what type of data. A matrix is a two-dimensional array often used for linear algebra. Row vector: comma or space separated values between brackets Column vector: semicolon separated values between brackets Matrices Matrix
Words: 486 - Pages: 2
In the film The Matrix, the question being asked is whether or not anything in this world that we experience every day, from the trees that are growing outside, to the people we encounter on a daily basis, truly exists. In The Matrix film, this question is answered with a resounding “No,” that nothing is real and that the true nature around us is a harsh and cruel reality, one where the entirety of the Earth’s population is enslaved to a race of “machines.” The main character, Neo, is at first scared
Words: 986 - Pages: 4
