Directions:
Develop a C++ program that can solve any matrix, up to 15 equations with 15 unknowns. Put the result on the screen as well as write the results to a text file
This is what we were given as a hint:
/* how to read matrix data file in rows and colloms written by tom tucker 03/26/2018 it uses a string array to read in the first line and then a nested for statement to read in the matrix data */ using namespace std; float MatrixData[15][15]; int i, j, k, n, NumOfUnknowns ; float temp1, temp2; float dataIn; //functional prototypes void makeZero(); void makeOne(); void ReadFirstRow(); void InputMatrixData(); void showData(); #include <iostream> #include <fstream> ifstream temp3; int main() { ReadFirstRow(); InputMatrixData(); cout<<endl<<endl; showData(); system("pause"); return 0; } void makeZero() { } void makeOne() { } void ReadFirstRow() { // ifstream temp3; temp3.open("matrix.txt"); char stuff[80]; temp3.getline(stuff, 80); j=0; for(i=0; i<=79; i++) { if(stuff[i]==' ') j++; } cout<<"number of unknows is "<<j<<endl; NumOfUnknowns = j; temp3.close(); } void InputMatrixData() { temp3.open("matrix.txt"); for(i=0; i<=NumOfUnknowns-1; i++) { for(j=0; j<=NumOfUnknowns; j++) { temp3>>dataIn; MatrixData[i][j] = dataIn; cout<<MatrixData[i][j]<<" "; } cout<<endl; } } void showData() { for(i=0; i<=NumOfUnknowns-1; i++) { for(j=0; j<=NumOfUnknowns; j++) { cout<<MatrixData[i][j]<<" "; } cout<<endl; } }
//Gauss Elimination #include<iostream> #include<iomanip> using namespace std; int main() { int n,i,j,k; cout.precision(4); //set precision cout.setf(ios::fixed); cout<<"\nEnter the no. of equations\n"; cin>>n; //input the no. of equations float a[n][n+1],x[n]; //declare an array to store the elements of augmented-matrix cout<<"\nEnter the elements of the augmented-matrix row-wise:\n"; for (i=0;i<n;i++) for (j=0;j<=n;j++) cin>>a[i][j]; //input the elements of array for (i=0;i<n;i++) //Pivotisation for (k=i+1;k<n;k++) if (abs(a[i][i])<abs(a[k][i])) for (j=0;j<=n;j++) { double temp=a[i][j]; a[i][j]=a[k][j]; a[k][j]=temp; } cout<<"\nThe matrix after Pivotisation is:\n"; for (i=0;i<n;i++) //print the new matrix { for (j=0;j<=n;j++) cout<<a[i][j]<<setw(16); cout<<"\n"; } for (i=0;i<n-1;i++) //loop to perform the gauss elimination for (k=i+1;k<n;k++) { double t=a[k][i]/a[i][i]; for (j=0;j<=n;j++) a[k][j]=a[k][j]-t*a[i][j]; //make the elements below the pivot elements equal to zero or elimnate the variables } cout<<"\n\nThe matrix after gauss-elimination is as follows:\n"; for (i=0;i<n;i++) //print the new matrix { for (j=0;j<=n;j++) cout<<a[i][j]<<setw(16); cout<<"\n"; } for (i=n-1;i>=0;i--) //back-substitution { //x is an array whose values correspond to the values of x,y,z.. x[i]=a[i][n]; //make the variable to be calculated equal to the rhs of the last equation for (j=i+1;j<n;j++) if (j!=i) //then subtract all the lhs values except the coefficient of the variable whose value is being calculated x[i]=x[i]-a[i][j]*x[j]; x[i]=x[i]/a[i][i]; //now finally divide the rhs by the coefficient of the variable to be calculated } cout<<"\nThe values of the variables are as follows:\n"; for (i=0;i<n;i++) cout<<x[i]<<endl; // Print the values of x, y,z,.... return 0; } o/p:-
Directions: Develop a C++ program that can solve any matrix, up to 15 equations with 15...
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