FOUNDATION OF COMPUTER SCIENCE Study Guide - Final Guide: Linear Algebra, Linear Map, Chemical Engineering

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2. application of matrix algebra: graphic software such as adobe photoshop on your personal computer uses matrices to process linear transformations to render images. A square matrix can represent a linear transformation of a geometric object: for example, in the cartesian x-y plane, the reflects an object in the vertical y axis. matrix. In a video game, this would render the upside-down mirror image: in physics related applications, matrices are used in the study of electrical circuits, quantum mechanics and optics. The rows and columns of the matrix correspond to the rows and columns of pixels. And the numerical entries correspond to the pixels" color codes. 3. application of newton raphson"s method: newton-raphson method is extensively used for analysis of flow in water distribution networks. Raphson method, are also available for analysis of flow in large size networks: in electric power systems engineering we use nr method to solve power flow (sometimes called load flow) problem.

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