nml::mat2 operator*(nml::mat2 lhs, const nml::mat2& rhs)

Return a mat2 that is the product between two mat2.

The product between two mat2 is calculated this way:

\(\begin{bmatrix} lhs.x.x & lhs.y.x \\ lhs.x.y & lhs.y.y \end{bmatrix} * \begin{bmatrix} rhs.x.x & rhs.y.x \\ rhs.x.y & rhs.y.y \end{bmatrix} =\)

\(\begin{bmatrix} lhs.x.x * rhs.x.x + lhs.y.x * rhs.x.y & lhs.x.x * rhs.y.x + lhs.y.x * rhs.y.y \\ lhs.x.y * rhs.x.x + lhs.y.y * rhs.x.y & lhs.x.y * rhs.y.x + lhs.y.y * rhs.y.y \end{bmatrix}\)

Example

#include "include/mat2.h"
#include <iostream>

int main() {
        nml::mat2 a(1.0f, 2.0f, 3.0f, 4.0f);
        nml::mat2 b = nml::inverse(a);
        nml::mat2 c = a * b;
        std::cout << nml::to_string(c) << std::endl;

        return 0;
}

Result:

[[1.000000, 0.000000], [0.000000, 1.000000]]