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Matrix_Determinant.c
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Matrix_Determinant.c
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#include <stdio.h>
int recursive_f(int b, long long int A[b][b])
{
long int determinant = 0;
int L = 1, r, c;
long long int X[b - 1][b - 1];
long int z = 1000000007;
if (b == 1)
{
return A[0][0];
}
else
{
for (int i = 0; i < b; i++)
{
r = 0, c = 0;
for (int j = 1; j < b; j++)
{
for (int k = 0; k < b; k++)
{
if (k != i)
{
X[r][c] = A[j][k];
if (c <= b - 3)
{
c = c + 1;
}
else
{
r = r + 1;
c = 0;
}
}
}
}
determinant += ((L % z) * (A[0][i] % z) * (recursive_f(b - 1, X) % z)) % z;
determinant = determinant % z;
L = (-1) * L;
}
}
return determinant;
}
int main()
{
int c;
scanf("%d", &c);
long long int A[c][c];
for (int i = 0; i < c; i++)
{
for (int j = 0; j < c; j++)
{
scanf("%lld", &A[i][j]);
}
}
long int z = 1000000007;
long long int r = recursive_f(c, A);
if (r >= 0)
{
printf("%lld\n", r);
}
else
{
printf("%lld\n", r + z);
}
return 0;
}