matrix.h

/*

Matrix class creation

The matrix takes the number of rows and the number of columns upon creation. Each element of the matrix is input using
either the Initialize() or Populate() functions. Initialize() might be removed later since it is not as general as
Populate()

*/

#pragma once
template <class T>
class Matrix {
private:
    int nRow, nCol;
    T* elem;
public:
    Matrix(int a, int b) : nRow(a), nCol(b) {
        elem = new T[nRow * nCol];
    }
    Matrix() : nRow(0), nCol(0) {
        elem = new T[0];
        elem[0] = 0;
    }
    int getRow();   //Returns number of rows in matrix
    int getCol();   //Returns number of columns in matrix
    void Initialize();  //Function for matrix class to handle data input, not as general as Populate
    void Populate(int* nRowPos, int* nColPos, T vals);  //Function inputs given data into matrix; does not handle the input
    void Deinitialize();    //Delete the array in matrix
    void Show();    //Display matrix
    //T Determinant(T n = 1, T det = 0);    //Calculate matrix determinant
    //T Trace();    //Calculate trace of matrix
    T Determinant(T n = 1, T det = 0);
    T Trace();
    Matrix<T> Reduce(int r, int c); //Remove a given row and column from matrix
    Matrix<T> operator+ (const Matrix& rhs);    //Define matrix addition
    //Matrix<T> operator- (const Matrix& rhs);  //Define matrix subtraction(TODO)
    Matrix<T> operator* (const Matrix& rhs);    //Define matrix multiplication
    bool operator== (const Matrix& rhs);    //Define matrix equality
    bool operator!= (const Matrix& rhs);    //Define matrix inequality
};