使用C++代写一个Matrix运算器，实现Matrix类的基本操作。

## Matrix Class

A matrix is rectangular array of items laid out in rows and columns. The dimensions, or size, of a matrix can be expressed as m x n or m-by-n, where m is the number of rows in the matrix and n is the number of columns in the matrix.

The individual elements in A can be expressed as ai,j, where i (the row) is a number from 1 to m and j (the column) is a number from 1 to n. For example, the value at element a1,3 is 2.

Write a program (called matrix.cpp) that does that following:

- 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 delete and setting the member field to null

Prompts the user for:

- The dimensions of a first matrix
- The contents of the first matrix, which is then filled into the newly created matrix object instance.
- The dimensions of a second matrix
The contents of the second matrix, which is used to fill the newly created matrix instance

Sample prompts with appropriate user responses:Number of Rows in Matrix 1: 5

Number of Columns in Matrix 1: 2

Values of Matrix 1 (expecting 10): 6 7 10 3 5 31 0 9 2

Note: You must use the above format for entering the values of the matrix.

When entering values to fill a matrix, all values should be provided on one line.

- 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 being performed should be explained; and the contents of each matrix or value involved should be printed and identified.

## 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:

- Overloads the following operators using friend:
`+`

Replicate the functionality of the add function from matrix.cpp`-`

Replicate the functionality of the subtraction function from matrix.cpp`*`

Overload this to replicate the functionality of both the matrix multiplication and scalar multiplication functions from 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`

;

- Remove the five public functions of the Matrix class, and use only overloaded operators to perform the same functionality/output as in the matrix.cpp
- 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
- 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 being performed should be explained; the contents of each matrix or value involved should be printed and identified.

## Compiling the Program

Use the following command to compile your classes:

```
g++ -Wall -o <output_name> <program_name.cpp>
```

Example:

```
g++ -Wall -o matrix matrix.cpp
```

Remember: Your code must successfully compile without any warnings or errors, or a zero will be given for the assignment.

## Submission

- Electronic Submission
- Your two source code files (matrix.cpp, matrix_ops.cpp)
- Zip file of source code (can include optional README file to demonstrate how to run your program) submitted via CANVAS drop box by close of assignment