Description
In this lab you will be working with java and the intelliJ IDE, as well as making your first lab
report.
Let’s start by opening up IntelliJ on your computer. Create a new project by selecting File>New>Project. ON the next screen you should already have an SDK selected (if not, it is available under C:\Program Files\Java). Do not select any additional frameworks, hit next. On the next screen, do not select the check box that says “Create Project from Template.” Hit next. Name your project MatrixFun, choose a location to save it (on the U drive, not the C drive). Once your project has been created, add a package called cpsc2150.lab2 and a class called MatrixApp in a file called MatrixApp.java.
Write a java program that will allow the user to create a matrix (2D array) with a size of their choosing (max of 10 by 10). You must use a 2D array, not lists or other resizable collections. The program should make sure the user does not select a size larger than 10 by 10. The user will then ask them fill in numbers for the matrix. After that, the program will ask the user to enter the numbers to fill their matrix, each time reminding the user of the position they are currently filling. After the matrix has been filled, it should be printed to the screen.
The program will then have functions that solve for the following

A function that takes in a matrix (and it’s dimensions) and returns the transpose of a matrix. https://en.wikipedia.org/wiki/Transpose if you are unfamiliar with matrices.

A function that solves for the product of the sums of each row, i.e. sum all the numbers in row 1 and multiply it by the sum of the numbers in row 2 and so on.

A function that finds the average of all of the numbers in the matrix

A function that returns an array with where arr[i] is equal to the sum of all the numbers in the ith column in the matrix.

A function that returns an array with where arr[i] is equal to the sum of all the numbers in the ith row in the matrix.
The program will call all of these functions and print the results to the user. Additionally, a separate function should be written to take in a 2D array (and it’s dimensions) and return a string representation that can be printed to the screen. See the sample output below. You may define any extra helper functions that you may want. All functions that are not the main function should be private.
TIPS and additional Requirements

You do not need to handle bad input from the user, assume they are entering integers

Remember that the Integer class comes with helpful member functions

Remember your import statements

Your main function will be a static member function of your Main class. A static function can only call other member functions of the same class if those member functions are also static

Your class should not have any nonconstant data members. All data should be passed to the functions via parameters.

You should only print to the screen or get input from the user in the main function, not in any helper functions. You can return a string from a function to be printed to the screen.

You can use some of these functions to help solve other functions. Try to think of ways to do this (hint, transposing a matrix can help).

You do not need to create a new class for matrices.
Lab Report
Along with your code you must submit a well formatted report with the following parts:
Requirements Analysis
Fully analyze the requirements of this program. Express all functional requirements as user stories. Remember to list all nonfunctional requirements of the program as well.
Design
Create a UML Activity Diagram for your main function, your function that converts the 2D array to a formatted string, and your transpose function. These diagrams should be created electronically so they are easy to read. I recommend draw.io
Testing
Describe how you tested your program to ensure it was functioning correctly. We have not covered testing in detail this semester, so the requirements at this point are pretty relaxed. Just describe your testing process. Include what specific inputs you used, and how you expected the program to react to those inputs. Make sure to test your program thoroughly.
Deployment
Provide instructions about how your program can be compiled and run on unix
Your lab report should be one file, and converted to a PDF
Groups
You may, but are not required to, work with a partner on this lab. Your partner must be in the same lab section as you, not just the same lecture section. If you work with a partner, only one person should submit the assignment. You should put the names of both partners in a comment at the top of the file and in the lab report in order for both partners to get credit. This assignment may take more than just the lab time. Make sure you are able to meet outside of class to work on the assignment before you decide to work with someone else. Remember to actively collaborate and communicate with your partner. Trying to just divide up the work evenly will be problematic.
Before Submitting
You need to make sure your code will run on Unix. In order to do that you will first need to log onto the unix machine and create a new directory. Our directory has to match the package we created for our assignment. Create a directory named “cpsc2150” and then inside of that directory create the “lab2” directory. Now move your code file to the unix machine into the lab2 directory. The code file will be in the MatrixFun directory that IntelliJ created (you chose the location) under src/cpsc2150/lab2. Once you have moved the file over, compile and run the program.Submitting your file
You will submit your file using handin in the lab section you are enrolled in. You must also submit your lab report as a pdf. Labs are not accepted late. If you are unfamiliar with handin, more information is available at https://handin.cs.clemson.edu/help/students/
Sample input and outputs:
Example 1:
How many rows should your matrix have?
2
How many columns should your matrix have?
3
What number should go in Row: 0 Col: 0 4
What number should go in Row: 0 Col: 1 4
What number should go in Row: 0 Col: 2 4
What number should go in Row: 1 Col: 0 5
What number should go in Row: 1 Col: 1 5
What number should go in Row: 1 Col: 2 5
Your matrix is:
444
555
The transposed matrix is:
45
45
45
The product sum is:
180
The average is:
4.5
The sums of each Row are:
1215
The sums of each Column are:
999
Process finished with exit code 0
Example 2:
How many rows should your matrix have?
3
How many columns should your matrix have?
3
What number should go in Row: 0 Col: 0 1
What number should go in Row: 0 Col: 1 2
What number should go in Row: 0 Col: 2 3
What number should go in Row: 1 Col: 0 4
What number should go in Row: 1 Col: 1 5
What number should go in Row: 1 Col: 2 6
What number should go in Row: 2 Col: 0 7
What number should go in Row: 2 Col: 1 8
What number should go in Row: 2 Col: 2 9
Your matrix is:
123
456
789
The transposed matrix is:
147
258
369
The product sum is:
2160
The average is:
5.0
The sums of each Row are:
61524
The sums of each Column are:
121518
Process finished with exit code 0
Example 3:
How many rows should your matrix have?
12
Error: Please enter a number 110
How many rows should your matrix have?
0
Error: Please enter a number 110
How many rows should your matrix have?
5
How many columns should your matrix have?
12
Error: Please enter a number 110
How many columns should your matrix have?
0
Error: Please enter a number 110
How many columns should your matrix have?
2
What number should go in Row: 0 Col: 0 5
What number should go in Row: 0 Col: 1 6
What number should go in Row: 1 Col: 0 78
What number should go in Row: 1 Col: 1 37
What number should go in Row: 2 Col: 0 42
What number should go in Row: 2 Col: 1 95
What number should go in Row: 3 Col: 0 6
What number should go in Row: 3 Col: 1 1
What number should go in Row: 4 Col: 0 42
What number should go in Row: 4 Col: 1 15
Your matrix is:
56
7837
4295
61
4215
The transposed matrix is:
57842642
63795115
69148695
The average is:
32.7
The sums of each Row are:
11115137757
The sums of each Column are:
173154
Process finished with exit code 0