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Explained: Matrices


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A matrix multiplication diagram.

Researchers at the Massachusetts Institute of Technology say they have built one of the first chips to implement the new high-efficiency video-coding standard for ultrahigh-definition TVs, in part because of patterns they discerned in the matrices it empl

Credit: MIT News

Matrix manipulation can be used in computer science for graphics because the rows and columns of a matrix correspond to rows and columns of pixels, and the numerical entries correspond to the pixels' color values. Massachusetts Institute of Technology (MIT) researchers say they have built one of the first chips to implement the new high-efficiency video-coding standard for ultrahigh-definition TVs, in part because of patterns they discerned in the matrices it employs.

Matrix manipulation also can help process digital sound because digital audio signal is a sequence of numbers, representing the variation over time of the air pressure of an acoustic audio signal. In addition, matrices are useful for manipulating graphs. In this context, a graph is a mathematical construct consisting of nodes, usually depicted as circles, and edges, usually depicted as lines between them. Every graph can be represented as a matrix, where each column and each row represents a node, and the value at their intersection represents the strength of the connection between them.

From MIT News
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Abstracts Copyright © 2013 Information Inc., Bethesda, Maryland, USA


 

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