Determinant algorithm in c++

Determinant.cpp

#include <math.h>
#include <stdio.h>
#include <iostream>

int Determinant(int**, int);
void PrintMatrix(int**, int, int);
int** ReadMatrix(int, int);

int main(int argc, char const* argv[]) {
    int n;
    printf("enter dimentions: ");
    scanf("%d", &n);

    printf("enter your matrice:\n");
    int** mat = ReadMatrix(n, n);

    printf("determinant is: %d\n", Determinant(mat, n));

    return 0;
}

int** ReadMatrix(int r, int c) {
    int** mat = 0;
    mat = new int*[r];
    for (int i = 0; i < r; i++) {
        mat[i] = new int[c];
        for (int j = 0; j < c; j++) {
            scanf("%d", &mat[i][j]);
        }
    }
    return mat;
}

void PrintMatrix(int** mat, int r, int c) {
    for (int i = 0; i < r; i++) {
        for (int j = 0; j < c; j++) {
            printf("%d ", mat[i][j]);
        }
        printf("\n");
    }
}

int Determinant(int** mat, int n) {
    int det = 0;

    if (n == 2)
        return (mat[0][0] * mat[1][1]) - (mat[1][0] * mat[0][1]);
    else {
        int** submat = new int*[n];
        for (int i = 0; i < n; i++)
            submat[i] = new int[n];

        int r = 0, c = 0;
        for (int i = 0; i < n; i++) {
            for (int j = 1; j < n; j++) {
                for (int k = 0; k < n; k++) {
                    if (k == i)
                        continue;

                    submat[r][c] = mat[j][k];
                    c++;
                }
                c = 0;
                r++;
            }
            r = 0;

            printf("\n");
            PrintMatrix(submat, n - 1, n - 1);
            printf("\n");

            det += pow(-1, i) * mat[0][i] * Determinant(submat, n - 1);
        }
    }

    return det;
}