 Matlab Basics IEF 217a: Lecture 2 Fall 2002 Sigmon and Davis, chapters 1-7.

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Matlab Basics IEF 217a: Lecture 2 Fall 2002 Sigmon and Davis, chapters 1-7

Matlab Basics Math Operations Variables Vectors Functions Fancy subscripts Program files

Math Operations Super calculator +,-,*,/,^, ()

Variables x = 1 1+x x = 10 y = 20 x*y The importance of ; (no printing) x = 1;

Vectors In matlab variables can be vectors Vector = list of numbers x = [1 5 2 1 5]; 2*x x+1

Generating Vectors : operator 1:10 1:2:10 60:-1:35 x = 1:5;

Parts of Vectors x(2) x(10) x(b) x(10:15), x(20:end)

Vector Operations (dot operators) x = [1 2 3]; y = [ 2 1 3]; x.* y x./ y x.^ y

Matrices x = [1 2 3; 4 5 6]; x = 1 2 3 4 5 6 rows = 2, columns = 3

Parts of Matrices x = 1 2 3 4 5 6 x(row, column) x(2,1) = 4 x(2,:) = 4 5 6 x(1,1:2) = 1 2

Functions Scalar functions: f(x) log(x), exp(x), sqrt(x) sin(x), cos(x), tan(x) Vector functions sum(x), mean(x), median(x)

More Functions plot(x) plot(x,’*’); Most important function!!!! Help help functionname help plot

Programs (mfiles) Execute commands in a file filename.m Edit using matlab editor (colors) Examples:

Conditions >, =, <=, ==, ~= x > 5 x < 10

If conditions if (x>1) x = x/2; end

If/else if (x<0) x = x+1; else x = -1*x; end

For loops for j = [1 2 3] x(j) = j+1; end

For Loops for j = 1:10 x(j) = 2^j; end also x = 2.^(1:10);

For Loops Useful for dealing with arrays Costly in terms of computer time

While Loops x = 20; y = 0; while (x>3) y = y+sqrt(x); x = x-5; end

If’s With Vectors if (a==b) disp(‘a equals b’) end What if a and b are vectors? True if every element of a equals every element of b

If’s With Vectors if (a~=b) disp(‘a not equals b’) end True if every element of a is not equal

Any and All if any(a==b) disp(‘at least one equal’) end if all(a==b) disp(‘all are equal’) end For matrices this gets more complicated

Fancy Subscripts (find function) x = [5 2 –3 –4 1]; y = x(find(x<0); all x values greater than zero put in y k = find(x<0); k = subscripts k = [ 3 4];

Program Files Filename.m test.m type: test

Important: Comment Lines Lines starting with % are comments x = 1; y = 2; z = x*y; % this really is not doing very much

User Functions Define your own functions Very important and powerful

Function file (positives.m) function count = positives(x) % usage: count = positives(x) % x = vector % count = number greater than zero count = sum(x>0);

Fancy function stuff Multiple returns function [ count, count2] = positives(x) count = sum(x>0); count2 = sum(x>2);

Fancy function stuff Calling functions as strings: z = feval(‘log’,5)

Getting and Storing Results diary filename (all results to filename) diary off (stop)

Load load x.dat File x.dat = 1 2 3 4 5 6 Same thing in matrix x x file must be matrix

Save save (saves everything to file matlab.mat) load (restores all settings) useful for taking a break, and starting where you left off

Save save filename x y z (save to filename.mat variables x, y, z) save filename x y z –ascii (save in ascii format)

Summary We will see many more of these matlab related commands as we make use of them

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