Matrices & Determinants
Properties of determinants
Grade 12
Question:
<p>If \(\Delta\) = \[ \begin{vmatrix} a & b & c \\ d & e & f \\ g & h & i \end{vmatrix} \] and two rows are swapped twice, determinant becomes:</p>
\(\Delta\)
-\(\Delta\)
0
2\(\Delta\)
Step-by-Step Solution
Key Concept: Two swaps restore original sign.
1. First swap \to -$\Delta$
2. Second swap \to $\Delta$
3. Final = $\Delta$
Correct Answer: 1