Objectives:

1. (5 points) Create some vectors in matlab.
2. (3 points) Use vectors in scalar calculations.
3. (2 points) Accessing vector elements for calculations.
4. (6 points) Solve some basic, vector problems in Matlab using m-file scripts (possibly including user prompts and plotting).
5. (4 points) Practice Vector Manipulation

Tasks:

1. (5 points) Create some vectors in matlab.

Write single MATLAB statements to create these vectors, use calculator mode and save your code and results to a diary file. Don't just show the answers, you need to show the Matlab statements necessary that create the answers.

A. Assign 4 real number positive and negative values to a row vector A.
B. Assign 3 positive integer values to a column vector B.
C. Use colon notation to create a vector C that contains every fourth integer from 0 to 24 inclusive.
D. Use colon notation to create a vector D that contains elements from -1.0 to 1.0 inclusive in .2 increments.
E. Use colon notation to create a vector E, of all multiples of 5 starting with 50 through 75.
F. Use "linspace" to create a vector F, of 20 values from -10 to 10 (inclusive).
G. Try to do the same thing as part F but use colon notation to create vector G.
H. Create a vector H from 0 to 2pi with 5 equally spaced elements.
I. Create a vector I that contains the last 3 lower case letters of the alphabet.
J. Define variables a = 3.5, b=6.4 and use these to create a row vector Jthat has the following elements: a, a squared, a/b, a*b, and squareroot of a

2. (3 points) Use vectors in scalar calculations.

Write single MATLAB statements to perform these operations on vectors, use calculator mode and save your code and results to a diary file. Use this vector in the following exercises: x = [0 3 -4 4.5]; Do not change vector x, let all the results go to the default "ans" identifier. One of them produces an error.

A. Add 2 to every element of x
B. Subtract 5 from every element of x
C. Subtract x from 10
D. Multiply every element of x by -3
E. Divide 12 by x
F. Divide every element of x by 6

3. (2 points) Accessing vector elements for calculations.

Write single MATLAB statements to perform these operations on vectors, use calculator mode and save your code and results to a diary file. Do not change vector x, let all the results go to the default "ans" identifier.

A. Using the vector x from problem number 2, use the disp() function to display the second element of x.
B. Using the vector x from problem number 2, add 20 to the first element of x.
C. Sum all the elements of the vector C from problem 1C.
D. Display the last element of the vector E from problem 1E.

4. (6 points) Solve some basic, vector problems in Matlab using m-file scripts (possibly including user prompts and plotting).

For each problem complete the following steps:

• Complete the Test Case table to hand in.
• Write a Matlab m-file script to solve each of the following problems. Call your script from the command line and save all your work in a command history file. It is fine to include errors in your command history file, as long as you eventually compute correctly. If you discover mistakes in your program, correct them and execute the test plan again. Please try to format the results to significant digits that are correct for the problem and data given.

How to create a command history file?

>> diary BauerLab5.txt

. . .

>> diary off

A. Write an m-file script called tempRange.m that will prompt the user for a vector of a week's worth of high temperatures (a single prompt expecting a vector of 7 numbers). The script displays a message with the range (difference of the highest and lowest) of the high temperatures for that week.

Create a test table (use at least 4 meaningful test cases and explain why each test case was chosen) and write an m-file script solve the problem. Make sure to format the output if necessary.

Test Case	Sample Data	Expected Result (manually calculate)	Verified?

B. Write a Matlab function called "countChange" that takes a single vector argument length 4 that contains a count of quarters, count of dimes, count of nickels and count of pennies. The function should return the total value of the change in dollars and cents, like 1.37.

Create a test table (use at least 5 meaningful test cases and explain why each test case was chosen) and write a function to solve the problem.

Test Case	Sample Data	Expected Result (manually calculate)	Verified?

5. (4 points) Practice Vector Manipulation

Create a single diary file named 'lastNameLab5.txt' to contain all the statements. Label each problem '5a' through '5f' in your diary

a. Generate a vector to manipulate in the following exercises by using a random number generator to "roll" a 6-sided dice 50 times. Use this vector of dice rolls for the below problems.

b. Count how many times you rolled a 6. Do your results make sense?

c. Generate another vector for 50 rolls of the dice but this time use a 12-sided dice and append this new vector to the previous vector (now you have 100 rolls of the dice).

d. Count the number of rolls >=7. Do your results make sense?

e. Use the 100-roll vector in d and create a new vector that contains only the rolls from the even-numbered indices.

f. Use the 100-roll vector in d and make a new vector of the "odd-valued rolls".

Copyright CS, Illinois Institute of Technology