University:
Whitman College
Course:
MATH-472 | Special Topics
Academic year:

2020
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364

Pages:

2
Author:

Polizistuff

Homework 3 Solutions 1. (Exercise 2, p. 11 of Matlab handout) Write a Matlab script file to plot three functions on one graph. Plot y = sin(x) in red, y = sin(2x) in black, and y = sin(3x) in green, with x ranging from −4 to 8. What should you turn in? Write your answer as a short script file. In the editor, under File, you will find the option to publish your script file. Select that option, then print the result and turn it in. SOLUTION: Something like: x=linspace(-4,8); y1=sin(x); y2=sin(2*x); y3=sin(3*x); plot(x,y1,’r’,x,y2,’k’,x,y3,’g’); 2. What does the following Matlab code do? x=[1,-1,2,-2,3,-3,4,-4]; %Could be a randomly chosen vector n=length(x); %Finds the length of vector x (8 in this one) m=randperm(n); %Randomly permutes the integers from 1 to n (1 to 8) x=x(m); %x is now a randomly permuted version of itself. 3. Write a Matlab function that will take in two matrices, A, B and will output a matrix of the same size where C(i, j) = max{A(i, j), B(i, j)} Use the built-in max function- See Matlab’s help file by typing (in the command window) doc max Note: Don’t use a loop- Your answer should be a one-line function What should you turn in? First, write your function and save it as mymax1.m. Next, write a short script file that creates two matrices that are 4 × 10, and whose entries are (uniformly) random numbers between 1 and 6. Call your function and have the result printed to the screen. You can then publish the script file, print it and turn it in. SOLUTION: function C=mymax1(A,B) C=max(A,B); %Script file: A=ceil(6*rand(4,10)); B=ceil(6*rand(4,10)); C=mymax1(A,B); 1 4. Modify banditScript.m to run three times, where E=0.0, E=0.01, E=0.1 and, where you save Ravg as y1 , then y2 , then y3 . Plot the result to see if you get Figure 1, p. 7. What should you turn in? After writing your script (you may call it banditScript2.m, publish it, print the output and attach. SOLUTION: Figure 5. Example we’ll do together (Nothing to turn in). 2

MatLab Homework 3 Solutions

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