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Additional resources for MATLAB The Language of Technical Computing (Getting Started with MATLAB) ~ Version 7
Example text
Repeated powers of the matrix represent repeated steps of the process. 2493 This shows that as k approaches infinity, all the elements in the k th power, k p , approach 1 ⁄ 4 . Finally, the coefficients in the characteristic polynomial poly(A) are 1 -34 -64 2176 0 This indicates that the characteristic polynomial det(A – λI ) is 4 3 2 λ – 34λ – 64λ + 2176λ The constant term is zero, because the matrix is singular, and the coefficient of the cubic term is -34, because the matrix is magic! Arrays When they are taken away from the world of linear algebra, matrices become two-dimensional numeric arrays.
N] More About Matrices and Arrays builds a table of squares and powers of 2: pows = 0 1 2 3 4 5 6 7 8 9 0 1 4 9 16 25 36 49 64 81 1 2 4 8 16 32 64 128 256 512 The elementary math functions operate on arrays element by element. 1:2)'; logs = [x log10(x)] builds a table of logarithms. 30103 2-23 2 Matrices and Arrays Multivariate Data MATLAB uses column-oriented analysis for multivariate statistical data. Each column in a data set represents a variable and each row an observation. The (i,j)th element is the ith observation of the jth variable.
Line plot represents data. Y Axis 5 0 −5 −10 −15 −20 −10 3-6 −5 0 5 10 15 X Axis 20 25 30 35 40 Overview of MATLAB Plotting Figure Tools The figure is equipped with sets of tools that operate on graphs. The figure Tools menu provides access to many graph tools. For More Information See “MATLAB Plotting Tools” in the MATLAB documentation or select Plotting Tools from the figure Help menu. 3-7 3 Graphics Access to Tools You can access the figure toolbars and the plotting tools from the View menu, as shown in the following picture.