Templated class parameter overloading

I'm trying to wrap my head around why there is an issue trying to compile this

#include <iostream>
template <unsigned int ROWS,unsigned int COLS>
class Matrix{
    public:
        double dotProd(const Matrix<1,COLS>& other){
            static_assert(ROWS==1,"dotProd only valid for two vectors");
            return COLS;//place holder for dot product with row vectors
        }
        double dotProd(const Matrix<ROWS,1>& other){
            static_assert(COLS==1,"dotProd only valid for two vectors");
            return ROWS;//place holder for dot product with col vectors
        }
};
int main(){
    Matrix<1,32> bob;
    Matrix<1,32> fred;
    std::cout<<bob.dotProd(fred)<<std::endl;
    return 0;
}

which is giving me this error:

overloadedTemplateMethod2.cpp: In instantiation of ‘class Matrix<1u, 1u>’:
overloadedTemplateMethod2.cpp:17:32:   required from here
overloadedTemplateMethod2.cpp:9:16: error: ‘double Matrix<ROWS,COLS>::dotProd(const Matrix<ROWS, 1u>&) [with unsigned int ROWS = 1u; unsigned int COLS = 1u]’ cannot be overloaded
     double dotProd(const Matrix<ROWS,1>& other){
            ^
overloadedTemplateMethod2.cpp:5:16: error: with ‘double Matrix<ROWS, COLS>::dotProd(const Matrix<1u, COLS>&) [with unsigned int ROWS = 1u; unsigned int COLS = 1u]’
     double dotProd(const Matrix<1,COLS>& other){
            ^

I understand that the template filling out the parameters would cause the second function to resolve to double dotProd(const Matrix<1,1>& other) but I would think the other one should resolve to double dotProd(const Matrix<1,32>& other), not Matrix<1,1> again.

what's going on here?