Hello guys, just leave the main() function alone. You can copy my code and paste it in your program and run it. I have a question...Have you seen the logical, syntax, runtime and errors? if so, give me some feedback. Thanks so much!!

#include #include #include #include using namespace std; //functions are to be declared before defined. void Prog8_1(); void Prog8_2(); void Prog8_3(); void Prog8_4(); void Prog8_5(); void Prog8_9(); void Prog8_11(); void Prog8_17(); void Prog8_18(); void Prog8_30();

//functions are to be declared in the global location const int SIZE = 4; double sumColumn(const double m[][SIZE], int rowSize, int columnIndex); double sumMajorDiagonal(const double m[][SIZE]); const int NUMBER_OF_STUDENTS = 8; const int NUMBER_OF_QUESTION = 10; const int N = 3; void addMatrix(const double a[][N], const double b[][N], double c[][N]); void multiplyMatrix(const double a[][N], const double b[][N], double c[][N]); void locateLargest(const double a[][4], int location[]); void inverse(const double A[][3], double inverseOfA[][3]); double determinantOfAMatrix(double A[][N]); bool linearEquation(const double a[][SIZE], const double b[], double result[]);

int main() { while (true) { system("cls"); cout << " Main Menu - Chapter 8 "; cout << "================================= "; cout << " 1: Programming Exercise 8.1 "; cout << " 2: Programming Exercise 8.2 "; cout << " 3: Programming Exercise 8.3 "; cout << " 4: Programming Exercise 8.4 "; cout << " 5: Programming Exercise 8.5 "; cout << " 9: Programming Exercise 8.9 "; cout << " 11: Programming Exercise 8.11 "; cout << " 17: Programming Exercise 8.17 "; cout << " 18: Programming Exercise 8.18 "; cout << " 30: Programming Exercise 8.30 "; cout << "other: Exit "; cout << "================================= "; cout << "Enter an exercise: "; int exercise; cin >> exercise; cout << endl; switch (exercise) { case 1: Prog8_1(); break; case 2: Prog8_2(); break; case 3: Prog8_3(); break; case 4: Prog8_4(); break; case 5: Prog8_5(); break; case 9: Prog8_9(); break; case 11: Prog8_11(); break; case 17: Prog8_17(); break; case 18: Prog8_18(); break; case 30: Prog8_30(); break; default: exit(0); } cout << endl; system("pause"); cin.clear(); } return 0; }

double sumColumn(const double m[][SIZE], int rowSize, int columnIndex) { //declare and initialize sumcol double sumCol = 0; //only one for loop is needed as we have columnIndex argument to get the //elements in that particular column for(int row=0;row

void Prog8_1() { //delcare the variable const int SIZE = 4;

//define the function sumColmn which takes the matrix, row // size and column index as its argument //delcare a matrix 3 by 4 double m[3][SIZE];

//delcare a matrix of size 3 by 4 and read the input from the end user through //for loop. Call the function sumColumn() which wil add the sum of elements //of each column cout << "Enter a 3 by 4 matrix row by now: " << endl;

//read the value of the matrix row wise for (int i = 0; i < 3; i++) { for (int j = 0; j < SIZE; j++) { //read the value from the end user cin >> m[i][j]; } }

for(int col=0;col

double sumMajorDiagonal(const double m[][SIZE]) { //declare and initalize sum equals to zero double sum = 0;

//for loop is used to ilerate through the matrix and //store the sum of the major diagonal for (int i = 0; i < SIZE; i++) { sum += m[i][i]; } //return sum of the elements of the major diagonal return sum; }

void Prog8_2() { //declare a matrix of size 4 by 4 double matrix[SIZE][SIZE]; cout << "Enter a 4 by 4 matrix row by row: " << endl;

//nested for loop is used to read the elements of the //two dimensional 4 by 4 matrix for (int i = 0; i < SIZE; i++) { for (int j = 0; j < SIZE; j++) { //read the elements from the user cin >> matrix[i][j]; } } //display the sum of the elements of the major dimensional cout << "Sum of the elements in the major diagonal is " << sumMajorDiagonal(matrix) << endl; }

void Prog8_3() { //Students' answers to the questions char answers[NUMBER_OF_STUDENTS][NUMBER_OF_QUESTION] = { {'A', 'B', 'A', 'C', 'C', 'D', 'E', 'E', 'A', 'D'}, {'D', 'B', 'A', 'B', 'C', 'A', 'E', 'E', 'A', 'D'}, {'E', 'D', 'D', 'A', 'C', 'B', 'E', 'E', 'A', 'D'}, {'C', 'B', 'A', 'E', 'D', 'C', 'E', 'E', 'A', 'D'}, {'A', 'B', 'D', 'C', 'C', 'D', 'E', 'E', 'A', 'D'}, {'B', 'B', 'E', 'C', 'C', 'D', 'E', 'E', 'A', 'D'}, {'B', 'B', 'A', 'C', 'C', 'D', 'E', 'E', 'A', 'D'}, {'E', 'B', 'E', 'C', 'C', 'D', 'E', 'E', 'A', 'D'} };

//key to the questions char keys [] = {'D', 'B', 'D', 'C', 'C', 'D', 'A', 'E', 'A', 'D'}; int correctCount[NUMBER_OF_STUDENTS];

//grade all answers for (int i = 0; i < NUMBER_OF_STUDENTS; i++) { //grade one student int count = 0; for (int j = 0; j < NUMBER_OF_QUESTION; j++) { if (answers[i][j] == keys[j]) count++; } correctCount[i]=count; //cout << "Student's " << i << " correct count is " << correctCount<< endl; }

for(int i=0;icorrectCount[j]) { int temp=correctCount[i]; correctCount[i]=correctCount[j]; correctCount[j]=temp; } } }

for(int i=0;i

void Prog8_4() { //Number of employee's const int NoOfEmp = 8;

//Employee's seven-day work hours int Weekly_Hours[NoOfEmp][7] = { {2,4,3,4,5,8,8}, {7,3,4,3,3,4,4}, {3,3,4,3,3,2,2}, {9,3,4,7,3,4,1}, {3,5,4,3,6,3,8}, {3,4,4,6,3,4,4}, {3,7,4,8,3,8,4}, {6,3,5,9,2,7,9}, }; //total hours of total employees int total_hours[NoOfEmp];

// Index number of each employee int emp[NoOfEmp];

//array variable initalization for (int i = 0; i < NoOfEmp; i++) { total_hours[i] = 0; emp[i] = i; } //execute the for loop until the i is less than number of employee for (int i = 0; i < NoOfEmp; i++) { //execute the for loop until j is less than 7 for (int j = 0; j < 7; j++) { //add the weekly hours with total hours total_hours[i] += Weekly_Hours[i][j]; } } //execute the for loop until j is less than or equal to 7 for (int j = 0; j <= 7; j++) { //sort each employee's total hours in decreasing order for (int i = 0; i < NoOfEmp; i++) { //compare the total hours of employee in sequence if (total_hours[i] < total_hours[i+1]) { //sorting total hours int temp = total_hours[i]; total_hours[i] = total_hours[i+1]; total_hours[i+1] = temp;

emp[j]=i; } } }

for(int i=0;i

} void addMatrix(const double a[][N], const double b[][N], double c[][N]) { //for loop is used to add and store in the third matrix for (int i = 0; i < N; i++) { //loop to access column of matrix for (int j = 0; j < N; j++) { //adding elements of a and b matrix c[i][j] = a[i][j] + b[i][j]; } } cout << "The addition of the matrices is " << endl; //display the third matrix for (int i = 0; i < N; i++) { //loop to access column of matrix for (int j = 0; j < N; j++) { cout << c[i][j] << "\t"; } cout << endl; } } // void addMatrix and void Prog8_5 are a function. I am not sure where I should //make signa " + and = ". I prefer not to put it into the function which would //make a worse runtime and error syntax void Prog8_5() { //Declare the three matrix double a[3][N], b[3][N], c[3][N];

//prompt user to enter the value in the first matrix cout << "Enter the first 3 by 3 matrix row by row: " << endl;

//for loop is used to takes an input for (int i = 0; i < N; i++) { //loop to access column of matrix for (int j = 0; j < N; j++) { cin >> a[i][j]; } } //prompt user to enter the value in the first matrix cout << "Enter the second 3 by 3 matrix row by row: " << endl; //nested for loop is used to take an input for (int i = 0; i < N; i++) { for (int j = 0; j < N; j++) { cin >> b[i][j]; } } //call the method addMatrix addMatrix(a,b,c); }

void multiplyMatrix(const double a[][N], const double b[][N], double c[][N]) { for (int i = 0; i < N; i++) { //use for loop to traverse column for (int j = 0; j < N; j++) { c[i][j]=0; for(int k=0;k

cout<<"Multiplication of matrices is: "<

void Prog8_9() { //declare three double type array double a[N][N]; double b[N][N]; double c[N][N];

cout << "Enter matrix1: ";

//use nested for loop to take input for fist matrix from user for (int i = 0; i < N; i++) { //use for loop to access column for (int j = 0; j < N; j++) { cin >> a[i][j]; } } //use nested for loop to take input for second matrix from user cout << "Enter matrix2: "; for (int i = 0; i < N; i++) { //display for loop to access column for (int j = 0; j < N; j++) { cin >> b[i][j]; } } //call function to multiply the two matrix multiplyMatrix(a,b,c); }

char *dec2bin(int a) //function to convert a given integer to binary and return character array . { char *bin = new char[9]; int rem,i=0; for(int j = 0; j<9; j++) //initializing the character array with 0 bin[j] = '0'; while(a > 0) //looping till the given number is greater than 0 { rem = a % 2; //calculating the remainder bin[8-i] = (rem + 48); //storing the remainder into char array from end(converting the integer value to corresponding ascii equivalent) a = a/2; //updating a i++; //updating i } return bin; //returning bin }

void Prog8_11() { int dec; int mat[3][3] = {{0}}; char *bin; cout<<"Enter a number between 0 and 511 : "; cin>>dec; if (dec >= 0 && dec <= 511) //checking if the number provided is within range { bin = dec2bin(dec); //calling dec2bin function with the integer value as parameter for(int i=0,k=0; i<3; i++) //i : loop for number of rows; k : for each element of the binary combination { for(int j=0; j<3; j++) //j : loop for columns if(bin[k++] == '1') //if the kth position of binary form is 1 print T else print H cout<<"T\t"; else cout<<"H\t"; cout<<" "; } } else cout<<"Number entered is not in range. "; }

void locateLargest(const double a[][4], int location[]) { double largest = a[0][0]; //let largest be the first element from the 3X4 array for (int r = 0; r < 3; r++) for (int c = 0; c < 4; c++) { if (largest < a[r][c]) { largest = a[r][c]; location[0] = r; location[1] = c; } } }

void Prog8_17() { double a[3][4] = {0}; cout << "Enter the array (3x4): "; for (int r = 0; r < 3; r++) for (int c = 0; c < 4; c++) cin >> a[r][c]; int location[2] = {0}; locateLargest(a, location); cout << "The location of the largest element is at (" << location[0] << " , " << location[1] << " ) "; }

double determinantOfAMatrix(const double A[][N]) { double det=0; for(int i=0;i

void inverse(const double A[][3], double inverseOfA[][3]) { //invoke the function determinantOfAMatrix() to get the determinant value. double determinant = determinantOfAMatrix(A);

//obtain the inverse of the 3x3 matrix using the formula inverseOfA[0][0] = (A[1][1] * A[2][2] - A[1][2] * A[2][1]) / determinant; inverseOfA[0][1] = (A[0][2] * A[2][1] - A[0][1] * A[2][2]) / determinant; inverseOfA[0][2] = (A[0][1] * A[1][2] - A[0][2] * A[1][1]) / determinant; inverseOfA[1][0] = (A[1][2] * A[2][0] - A[1][0] * A[2][2]) / determinant; inverseOfA[1][1] = (A[0][0] * A[2][2] - A[0][2] * A[2][0]) / determinant; inverseOfA[1][2] = (A[0][2] * A[1][0] - A[0][0] * A[1][2]) / determinant; inverseOfA[2][0] = (A[1][0] * A[2][1] - A[1][1] * A[2][0]) / determinant; inverseOfA[2][1] = (A[0][1] * A[2][0] - A[0][0] * A[2][1]) / determinant; inverseOfA[2][2] = (A[0][0] * A[1][1] - A[0][1] * A[1][0]) / determinant; }

void Prog8_18() { double A[3][3]; double inverseOfA[3][3]; double a11, a12, a13, a21, a22, a23, a31, a32, a33; cout << "Enter a11, a12, a13, a21, a22, a23, a31, a32, a33: "; cin >> a11 >> a12 >> a13>> a21 >> a22 >> a23 >> a31 >> a32>> a33; A[0][0]=a11; A[0][1]=a12; A[0][2]=a13; A[1][0]=a21; A[1][1]=a22; A[1][2]=a23; A[2][0]=a31; A[2][1]=a32; A[2][2]=a33; inverse(A,inverseOfA); for(int i=0;i<3;i++) { for(int j=0;j<3;j++) { cout<

bool linearEquation(const double a[][2], const double b[], double result[]) { double bottom; //calculate denominator of provided formula bottom = (a[0][0] * a[1][1] - a[0][1] * a[1][0]); //check denominator is 0 if (bottom == 0) return false; else { //calcuate x and y and store then in the result array result [0] = (b[0] * a[1][1] - b[1] *a[0][1]) / bottom; result [1] = (b[1] * a[0][0] - b[0] * a[1][0]) / bottom; //display x and on screen return true; } }

void Prog8_30() { double a[2][2]; double b[2]; double result[2];

cout<<"Enter a 2x2 matrix for system of equations: "<>a[i][j]; } } cout<<"Enter a 1x2 matrix for constants of both the equations"<>b[i]; if(linearEquation(a,b,result)) { cout<<"The solution is: "<