Matrix Algebra http://elearning.usm.my Md Harashid bin Haron‚ Ph.D. Accounting Section‚ School of Management‚ Universiti Sains Malaysia (USM)‚ 11800 Pulau Pinang‚ Malaysia Email: harashid@usm.my ; mdharashid@gmail.com Matrices? A rectangular array of numbers consisting m horizontal rows and n vertical columns. 5 3 4 2 2 1 6 4 2 A= 5 3 4 2 2 1 6 4 2 A has a size of 3 x 3; 3 x 3 matrix; 3 rows and 3 columns (row is specified
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In mathematics‚ a matrix (plural matrices) is a rectangular array of numbers‚ symbols‚ or expressions‚ arranged in rows and columns.[1][2] The individual items in a matrix are called its elements or entries. An example of a matrix with 2 rows and 3 columns is Matrices of the same size can be added or subtracted element by element. But the rule for matrix multiplication is that two matrices can be multiplied only when the number of columns in the first equals the number of rows in the second. A
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The Matrix The matrix will forever hold a place as one of my favorite childhood movies as the action and computer generated imagery back in 99’…were ahead of its time. Today‚ I’m twenty years old‚ in college and assigned to re-watch this bad-ass movie and utilize my mature adult intelligence to “critically” think about the socially constructed reality at a college level. Therefore‚ I shall proceed to say that after watching the Matrix‚ the movie pertains to the socially constructed reality as a
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Eigenvectors and eigenvalues of a matrix The eigenvectors of a square matrix are the non-zero vectors which‚ after being multiplied by the matrix‚ remain proportional to the original vector‚ i.e. any vector that satisfies the equation: where is the matrix in question‚ is the eigenvector and is the associated eigenvalue. As will become clear later on‚ eigenvectors are not unique in the sense that any eigenvector can be multiplied by a constant to form another eigenvector. For each
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The Matrix – to be or not be The Matrix consists of a great variety of questions that have tortured the world for centuries. How can we know that what we see around us is real? How can we be certain that the items and living beings around us exists? If the world as we know it turns out to be an illusion‚ what do we do? Numerous philosophers and other thinkers have pondered these questions since the beginning of time. How can we know that what we see around us is real? How to be certain that
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“The Matrix”‚ a 1999 film by the Wachowski brothers‚ adapts a number of new and ancient philosophies about the truth behind reality‚ but the most central to the overarching framework of the film is adapted from Plato’s Allegory of the Cave. While “The Matrix” mirrors Plato’s allegory almost exactly in structure‚ its storyline is far more complex and it is effectively adapted to be a modern sci-fi/action movie. The film draws in a modern audience‚ who can relate to its protagonist‚ Neo‚ because we
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The most obvious similarity between the movie The Matrix‚ the cave analogy of Plato‚ and Descartes’ Meditation‚ is that all of these works doubt the reality of the world around us and call into question the validity of our sense perceptions. “Let us suppose‚” says Descartes‚ “that we are dreaming‚ and that all these particulars – namely‚ the opening of the eyes‚ the motion of the head‚ the forth-putting of the hands – are merely illusions” (Descartes‚ 1641‚ Meditations on First Philosophy). Likewise
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same argument as above‚ we see that: 5000(0.3) + 10‚ 000(0.8) = The number of people who don’t ride the bus next year. = b2 This system of equations is equivalent to the matrix equation: M x = b where 0.7 0.2 0.3 0.8 5000 10‚ 000 b1 b2 M= 5500 ‚x = and b = . For computing the result after 2 years‚ we just use the same matrix M ‚ however we use b 9500 in place of x. Thus the distribution after 2 years is M b = M 2 x. In fact‚ after n years‚ the distribution is given by M n x. The forgoing
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Compare and Contrast The Matrix with the readings from Plato and Descartes. What are some similarities and differences? An Essay Submitted to Jason Elvis BY Williestine Harriel Liberty University online September 24‚ 2012 Compare and Contrast The Matrix with the readings from Plato and Descartes. What are some similarities and differences? After reading The Matrix‚ and reading from Plato and Descartes‚ I find that there are some similarities and differences
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Dakota and I chose the Matrix of Liberty as our topic because we wanted to do something new and uncommon. So far everyone we have talked to about it (including our history teacher) didn’t even know of the historical monument‚ so we both decided to use that as our topic. To start out our research we both went on the internet for information and read articles on our topic. Once we both had a significant amount of facts and information we compared notes and shared what we found. Once we were confident
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