MATLABReview

MATLABReview - BME 210-Spring 2008 MATLAB Overview...

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BME 210-Spring 2008 MATLAB Overview 1 INTRODUCTION TO MATLAB MATLAB is an application language for scientific and engineering computing. It integrates computation, visualization, and programming in an environment where problems and solutions are expressed in mathematical notation. MATLAB is an interactive system whose basic data element is an array that does not require dimensioning. This allows you to solve many technical computing problems, especially those with matrix and vector formulations, in a fraction of the time it would take to write a program in a general-purpose high-level language such as C++. The name MATLAB stands for matrix laboratory . MATLAB has evolved over a period of years with input from many users, and now includes many specialized toolboxes together that use MATLAB’s rigorous computational methods. In university environments, it is a standard instructional tool for many introductory and advanced courses in mathematics, engineering, and science. In industry, MATLAB is used in research, development, and analysis. I. Some Matrix Algebra We review below some basic ideas from matrix algebra. The concepts of vectors and matrices are very useful in that they allow us to compress complicated expressions into a compact notation. A. Vectors The vector x of dimension n can be thought of as a one-dimensional array of n numbers as follows: x = x 1 x 2 # x n where x 1 , x 2 , . .., x n are the elements of the array x . Many operations involving vectors are component- by-component operations. For the vectors x and y x = x 1 x 2 # x n y = y 1 y 2 # y n the follow definitions apply:
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BME 210-Spring 2008 MATLAB Overview 2 Equality : x = y if and only if x i =y i for all i Addition/Subtraction : x ± y = x 1 ±
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This note was uploaded on 04/12/2009 for the course BME 210 taught by Professor D'argenio during the Spring '07 term at USC.

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MATLABReview - BME 210-Spring 2008 MATLAB Overview...

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