Matrix Determinant
Determinant with step-by-step reduction
Reduce A to upper-triangular form by row operations, then det(A) = sign × (product of the diagonal pivots).
det(A)
-306
Sign
+1
Row swaps
0
Product of diagonal
6 · -2,666667 · 19,125
Row reduction
- R2 → R2 − 0,666667·R1
- R3 → R3 − 0,333333·R1
- R3 → R3 − -2,875·R2
A
6
1
1
4
-2
5
2
8
7
Upper-triangular form
6
1
1
0
-2,666667
4,333333
0
-0
19,125
det(A) = (6 · -2,666667 · 19,125) = -306