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MATLAB, which stands for MATrix LABoratory, is a state-of-the-art mathematical software package, which is used extensively in both academia and industry. It is an interactive program for numerical computation and data visualization, which along with its programming capabilities provides a very useful tool for almost all areas of science and engineering. Unlike other mathematical packages, such as MAPLE or MATHEMATICA, MATLAB cannot perform symbolic manipulations without the use of additional Toolboxes. It remains however, one of the leading software packages for numerical computation. This tutorial will guide you to learn about: MATLAB Basic, The basic features, Vectors and matrices, Built-in functions, Plotting. Programming in MATLAB, M-files: Scripts and functions, Loops, If statement, Additional Topics, Polynomials in MATLAB, Numerical Methods,Closing Remarks and References.
The real power of MATLAB is the ease in which you can manipulate your vectors and matrices. For example, to subtract 1 from every entry in the matrix A we type » A-1. Another important operation that MATLAB can perform with ease is “matrix division”. If M is an invertible† square matrix and b is a compatible vector then x = M\b is the solution of M x = b and x = b/M is the solution of x M = b. Let us illustrate the first of the two operations above with M = B and b = t. There are many times when we want to perform an operation to every entry in a vector or matrix. MATLAB will allow us to do this with “element-wise” operations. For example, suppose you want to multiply each entry in the vector s with itself. In other words, suppose you want to obtain the vector s2 = [s(1)*s(1), s(2)*s(2), s(3)*s(3)].
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Tags : vectors and matrices, symbolic manipulations, matrix division, matrix laboratory, mathematical packages, square matrix, programming capabilities, google, numerical computation, data visualization, pdf search, mathematical software, interactive program, closing remarks, leading software
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