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function det(matrix) {
// pobieramy stopień macierzy
const n = matrix.length;
// kopiujemy macierz wejściową
const B = matrix.map((row) => [...row]);
// iterujemy po kolejnych elementach macierzy zgodnie z ideÄ… algorytmu
for (let k = 0; k < n; k++) {
for (let i = k + 1; i < n; i++) {
for (let j = k + 1; j < n; j++) {
// obliczamy nową wartość elementu i,j
const dividend = B[i][j] * B[k][k] - B[i][k] * B[k][j];
const divider = k > 0 ? B[k - 1][k - 1] : 1;
B[i][j] = dividend / divider;
}
}
}
// wartość w prawym dolnym rogu macierzy to wyznacznik wejściowej
return B[n - 1][n - 1];
}
const matrix1 = [[1]];
const matrix2 = [
[1, 2],
[3, 4],
];
const matrix3 = [
[1, 2, 3],
[4, 5, 6],
[7, 8, 9],
];
const matrix4 = [
[1, 2, 3, 4],
[2, 2, 3, 4],
[3, 3, 3, 4],
[4, 4, 4, 4],
];
console.log(det(matrix1)); // 1
console.log(det(matrix2)); // -2
console.log(det(matrix3)); // 0
console.log(det(matrix4)); // -4
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