Matrices & Determinants
Properties of determinants
Grade None
Question:
<p>If \(\Delta\) = \[ \begin{vmatrix} 1 & 2 & 3 \\ 2 & 4 & 6 \\ 3 & 6 & 9 \end{vmatrix} \], then \(\Delta\) equals:</p>
Step-by-Step Solution
Key Concept: Rows are proportional \to determinant = 0.
1. $R_2$ = 2 \times $R_1$, $R_3$ = 3 \times $R_1$
2. Rows proportional
3. Determinant = 0
Correct Answer: 1