Matrix multiplication in C++

matrix.cc

#include <cstdio>

template<unsigned int N, unsigned int M>
struct Matrix
{
    static const unsigned int sRows = N;
    static const unsigned int sCols = M;

    template <unsigned int P>
    Matrix<N, P>
    operator*(Matrix<M, P> lhs)
    {
        return Matrix<N, P>();
    }

private:

    double mData[sRows * sCols];
};


int
main(int argc,
     const char *argv[])
{
    Matrix<4, 1> m14;
    printf("Matrix<1, 4> sRows = %u, sCols = %u\n", Matrix<1, 4>::sRows, Matrix<1, 4>::sCols);

    Matrix<4, 4> m44;
    printf("Matrix<4, 4> sRows = %u, sCols = %u\n", Matrix<4, 4>::sRows, Matrix<4, 4>::sCols);

    Matrix<4, 1> p = m44 * m14;

    return 0;
}