CMPSC 122 - Matrix Class, Random Integer Proper Matrix, Multiplication, CPP  Dynamically & 2D Array - Mathematics Assignment Help

Assignment Task

Write a program (called matrix. CPP) that does the following: 
1. Implement a class called Matrix that: 
• Contains private member fields for the number rows and columns of the matrix

• Contains a public member field to contain the matrix elements 
 This should be a 2D array of integers that is implemented dynamically 
• Contains five public functions 
 add function, that adds two same sized matrices together and returns a new  matrix with the result 
 subtract function, that subtracts two same sized matrices together and returns a  new matrix with the result 
 multiply function, that performs proper matrix multiplication and returns a new  matrix with the result 
 scalar function, that performs scalar multiplication with an integer value and a  matrix and returns a new matrix with the result 
 print function, that outputs the contents of the matrix in tabular form that matches  the dimensions of the matrix 
• Contains a non-default constructor 
 Constructor that accepts size information, and dynamically creates the matrix
• Contains a destructor That properly handles discarding the dynamically created 2D array (using the delete  and setting the member field to null 
 

Matrix Class 

1-.Performs the following calculations and prints each result using the print function 
• Each of the four matrix mathematical methods should be called, each result stored in a  new object 
• If the dimensions of the two matrices involved do not allow for the operation to be performed, skip performing this calculation, and display a message stating that step has been skipped. 
 For example, if I have a 3x4 matrix and a 4x2 matrix, I cannot add or subtract  these together, but I can perform multiplication 
• Each calculation should be printed with a full explanation For scalar multiplication, you can either use an integer literal or generate a  random integer. Just be sure to print the value of the integer value as part of the output when performing this function. 
The calculation is performed should be explained, and the contents of each matrix or value involved should be printed and identified. 

2.  Matrix Class with Overloaded Operators 
Using the class from the first portion of the assignment, write a program (called matrix_ops.CPP) that does  the following: 
1. Overloads the following operators using friend: 
• +  
Replicate the functionality of the add function from the matrix.CPP 
• – 
Replicate the functionality of the subtraction function from the matrix.CPP 
• * 
Overload this to replicate the functionality of both the matrix multiplication and scalar multiplication functions from the matrix.CPP 
This operator should be overloaded a total of 3 times.  
• << 
Replicate the functionality of the print function from matrix.cpp 
Used in the following way: cout << matrix_instance1; 
• >>  
Used as the only way to fill in a matrix with values 
Used in the following way: cin >> matrix_instance1; 

3. Performs the following calculations and prints each result using the overloaded >> operator 
• Each of the four matrix mathematical methods should be called, each result stored in a  new object. Be sure you invoke scalar multiplication once for each overloaded operator o int * Matrix 
 Matrix * int 
• If the dimensions of the two matrices involved do not allow for the operation to be performed, skip performing this calculation, and display a message stating that step has been skipped. 
 For example, if I have a 3x4 matrix and a 4x2 matrix, I cannot add or subtract  these together, but I can perform multiplication 
• Each calculation should be printed with a full explanation 
  For scalar multiplication, you can either use an integer literal or generate a  random integer. Just be sure to print the value of the integer value as part of the output when performing this function. 
 The calculation is performed should be explained; the contents of each matrix or value involved should be printed and identified. 

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