Guest Session: 1 Question Remaining. Create Account to save progress.
Login
Determinantseasy
0:00.0

To compute det⁡(A)\det(A)det(A) for a 3×33 \times 33×3 matrix, a student performs row operations:

• R2→R2−3R1R_2 \to R_2 - 3R_1R2​→R2​−3R1​ (subtract 3 times row 1 from row 2) • R3→12R3R_3 \to \frac{1}{2}R_3R3​→21​R3​ (divide row 3 by 2)

After these operations, the resulting upper triangular matrix has determinant 121212. What is det⁡(A)\det(A)det(A)?