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# Linear Equation Solvers Assignment Answers

1. Write a program that will solve for the unknown of a system of linear equation using cholesky’s method. The program should be able solve different system of linear equation from a single interface.

2. Write a program that will solve for the unknown of a system of linear equation using gauss Jordan method. The program should be able to solve different system of linear equation from a single interface.

# Assignment Help Answers with Step-by-Step Explanation:

#include <vector>

#include <cmath>

for (int j = 0; j <= i; j++) {

double sum = 0.0;

L[i][j] = sqrt(A[i][i] - sum);

} else {

}

}

int n = A.size();

std::vector<std::vector<double>> L(n, std::vector<double>(n, 0.0));

for (int i = 0; i < n; i++) {

double sum = 0.0;

}

// Backward substitution

}

x[i] = (y[i] - sum) / L[i][i];

// Define your system of linear equations here.

std::vector<std::vector<double>> A = {{4, 2, 2},

std::cout << "Solution: ";

for (double x : solution) {

}

2. Gauss-Jordan Method

int n = A.size();

for (int i = 0; i < n; i++) {

A[i][j] /= pivot;

}

double factor = A[k][i];

for (int j = i; j < n; j++) {

}

}

for (int i = 0; i < A.size(); i++) {

augmentedMatrix[i].push_back(b[i]);

}

int main() {

std::vector<double> b = {8, 14, 4};

std::vector<double> solution = solveGaussJordan(A, b);

std::cout << std::endl;

return 0;

How It Works