/// <summary>
/// Multiplies the <paramref name="lhs"/> matrix by the <paramref name="rhs"/> matrix.
/// </summary>
/// <param name="lhs">The LHS matrix.</param>
/// <param name="rhs">The RHS matrix.</param>
/// <returns>The product of <paramref name="lhs"/> and <paramref name="rhs"/>.</returns>
public static mat3 operator *(mat3 lhs, mat3 rhs)
{
mat3 result = new mat3(
new vec3(
lhs[0][0] * rhs[0][0] + lhs[1][0] * rhs[0][1] + lhs[2][0] * rhs[0][2],
lhs[0][1] * rhs[0][0] + lhs[1][1] * rhs[0][1] + lhs[2][1] * rhs[0][2],
lhs[0][2] * rhs[0][0] + lhs[1][2] * rhs[0][1] + lhs[2][2] * rhs[0][2]
),
new vec3(
lhs[0][0] * rhs[1][0] + lhs[1][0] * rhs[1][1] + lhs[2][0] * rhs[1][2],
lhs[0][1] * rhs[1][0] + lhs[1][1] * rhs[1][1] + lhs[2][1] * rhs[1][2],
lhs[0][2] * rhs[1][0] + lhs[1][2] * rhs[1][1] + lhs[2][2] * rhs[1][2]
),
new vec3(
lhs[0][0] * rhs[2][0] + lhs[1][0] * rhs[2][1] + lhs[2][0] * rhs[2][2],
lhs[0][1] * rhs[2][0] + lhs[1][1] * rhs[2][1] + lhs[2][1] * rhs[2][2],
lhs[0][2] * rhs[2][0] + lhs[1][2] * rhs[2][1] + lhs[2][2] * rhs[2][2]
)
);
return(result);
}
/// <summary>
/// Multiplies the <paramref name="lhs"/> matrix by the <paramref name="rhs"/> matrix.
/// </summary>
/// <param name="lhs">The LHS matrix.</param>
/// <param name="rhs">The RHS matrix.</param>
/// <returns>The product of <paramref name="lhs"/> and <paramref name="rhs"/>.</returns>
public static mat3 operator *(mat3 lhs, mat3 rhs)
{
mat3 result = new mat3(
new vec3(
lhs[0][0] * rhs[0][0] + lhs[1][0] * rhs[0][1] + lhs[2][0] * rhs[0][2],
lhs[0][1] * rhs[0][0] + lhs[1][1] * rhs[0][1] + lhs[2][1] * rhs[0][2],
lhs[0][2] * rhs[0][0] + lhs[1][2] * rhs[0][1] + lhs[2][2] * rhs[0][2]
),
new vec3(
lhs[0][0] * rhs[1][0] + lhs[1][0] * rhs[1][1] + lhs[2][0] * rhs[1][2],
lhs[0][1] * rhs[1][0] + lhs[1][1] * rhs[1][1] + lhs[2][1] * rhs[1][2],
lhs[0][2] * rhs[1][0] + lhs[1][2] * rhs[1][1] + lhs[2][2] * rhs[1][2]
),
new vec3(
lhs[0][0] * rhs[2][0] + lhs[1][0] * rhs[2][1] + lhs[2][0] * rhs[2][2],
lhs[0][1] * rhs[2][0] + lhs[1][1] * rhs[2][1] + lhs[2][1] * rhs[2][2],
lhs[0][2] * rhs[2][0] + lhs[1][2] * rhs[2][1] + lhs[2][2] * rhs[2][2]
)
);
return result;
}