with the class above I need to create the following overloaded operators. any tips are appreciated. some of them are tricky for me. more when dealing with matrices:/ thank you!

this is in C++

to be more specific... the only thing i need is the overloaded operator functions. and #9

class matrixType private: int matrix[3][3]; public: void display(); void setMatrix(); bool equal (const matrixType& M) const; // returns true if the matrices are equal matrixType sum(const matrixType& M) const; matrixType product (const matrixType & M) const; // 3 by 3 matrix multiplication matrixType product(int c) const; // multiplication by a scalar matrixType(string filename); // this should read the values of a matrix from a file. matrixType(int a); The first constructor will read the values of the matrix from the file of the given name. For example, if filename = "matrix 1.txt" and matrix1.txt contains the following: 1 2 3 4 5 6 7 8 9 Then the 3 by 3 matrix stored in the object should be the following matrix: 1123) (4 5 6 \7 8 9 9. Also write a function to allow the mult iplication of a constant times a matrix usi ng the syntax c*M1