Question $2$: Matrix Input and Sum Calculation

Problem Statement: Write a C$++$ program to perform operations on a square matrix. Your

program should:

Input a Square Matrix: Allow the user to input values into a $33$ matrix. You may modify the

size for a different matrix size if needed.

Calculate the Sum of the Major Diagonal: The major diagonal of a matrix consists of the

elements where the row index is equal to the column index $($i$.$e$.,$ matrix$[$i$][$i$]).$

Display the Matrix and the Sum: Display the matrix in a readable format.

Calculate and display the sum of the major diagonal elements.

Requirements:

Matrix Size: Use a fixed$-$size matrix $(33)$ for simplicity. You may generalize it for any $nn$

matrix if desired.

Function Definitions:

void inputMatrix$($int matrix$[3][3])$: This function should prompt the user to input the

elements of the matrix.

int sumMajorDiagonal$($const int matrix$[3][3])$: This function should calculate and return the

sum of the major diagonal elements.

void displayMatrix$($const int matrix$[3][3])$: This function should display the matrix in a

formatted way.

Main Program:

Prompt the user to enter the values for the matrix.

Display the matrix.

Calculate and display the sum of the major diagonal.

Additional Requirements:

Ensure the program handles typical input errors gracefully.

The matrix size can be changed if needed by modifying the size parameter.

Example Output:

Enter the elements of the matrix:

Element $[0][0]$:$1$

Element $[0][1]$: $2$

Element $[0][2]$: $3$

Element $[1][0]$: $4$

Element $[1][1]$: $5$

Element $[1][2]$: $6$

Element $[2][0]$: $7$

Element $[2][1]$: $8$

Element $[2][2]$: $9$

Matrix:

Sum of the major diagonal: $15$