Matrices & Determinants
Properties of determinants
Grade None
Question:
<p>If \(\Delta\) = \[ \begin{vmatrix} 1 & 2 & 3 \\ 4 & 5 & 6 \\ 7 & 8 & 9 \end{vmatrix} \], then \(\Delta\) equals:</p>
Step-by-Step Solution
Key Concept: Rows are linearly dependent (arithmetic progression).
1. $R_3$ = $R_1$ + $R_2$ - (1,1,1) pattern \to dependent
2. Determinant = 0
Correct Answer: 1