Can you provide examples of using the Eigen library in C++?

Can you provide examples of using the Eigen library in C++?

Sure! The Eigen library is a powerful C++ template library for linear algebra. Would you like to see examples of matrix operations or solving linear equations?

Let's start with matrix operations.

Great! Here's a simple example of creating a matrix and performing addition:

#include <Eigen/Dense>
using namespace Eigen;

int main() {
    Matrix2d mat1;
    Matrix2d mat2;
    mat1 << 1, 2,
            3, 4;
    mat2 << 5, 6,
            7, 8;
    Matrix2d result = mat1 + mat2;
    std::cout << "Result:
" << result << std::endl;
    return 0;
}

That looks good! Can you show me how to solve a linear equation using Eigen?

Of course! Here's an example of solving a linear equation Ax = b:

#include <Eigen/Dense>
using namespace Eigen;

int main() {
    Matrix2d A;
    Vector2d b;
    A << 3, 2,
         1, 2;
    b << 5, 3;
    Vector2d x = A.colPivHouseholderQr().solve(b);
    std::cout << "Solution x:
" << x << std::endl;
    return 0;
}