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Using Matlab

Jake Blanchard University of Wisconsin Spring 2006. Using Matlab. About Matlab. Origins are in linear algebra Much functionality added later Runs on all platforms Many toolboxes exist. The User Interface. You can use Matlab interactively Just type commands and view results

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Using Matlab

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  1. Jake Blanchard University of Wisconsin Spring 2006 Using Matlab

  2. About Matlab • Origins are in linear algebra • Much functionality added later • Runs on all platforms • Many toolboxes exist

  3. The User Interface • You can use Matlab interactively • Just type commands and view results • Difficulty is saving session • I prefer to use scripts (m-files) • I use the built-in editor

  4. My Approach • Put commands into m-file • Run from main Matlab window • Edit m-file • Rerun • Repeat to perfection • Save and turn in m-file

  5. Variables • A=5 • B=3 • C=A+B • C=C+3

  6. Vectors and Matrices • Think of vectors as lists • Think of matrices as arrays (lists of lists) • V1=[0 1 2 3 4] • V2=0:4 • M1=[1 0 1; 0 1 0; 0 0 1] • M2=ones(3)

  7. Accessing elements • You can pick out individual components of vectors and matrices • V1(3) • M1(2,3) • M1(:,2) • M1(1,:)

  8. Vector Math • Try this: • v=0:5 • z=v*v • To square each element: • z=v.*v • Also ./ and .^

  9. Plotting • Make vectors for x and y axis and then plot them • x=0:0.1:10 • y=sin(x) • plot(x,y) • plot(x,y,x,y,’o’)

  10. Functions • exp, log, log10, sqrt • sin, cos, tan, asin, acos, atan • max, min, mean, median, sum, prod, sort

  11. Flow Control • if x<10 then • x=x+1 • else • x=x^2 • end

  12. Flow Control (cont) • for i=1:10 • z=z*i • end

  13. User-Defined Functions • Suppose we want to plot: sin(3*x)+sin(3.1*x) • Create user-defined function • function r=f(x) • r=sin(3*x)+sin(3.1*x) • Save as f.m

  14. User-Defined Functions (cont) • Now just call it: • x=0:0.1:50; • y=f(x); • plot(x,y)

  15. Conclusions • This should get you started with Matlab • Watch the demo movie to see it in action

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