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 a, d, g are in A.P., then determinant is:</p>
Step-by-Step Solution
Key Concept: A.P. condition alone does not guarantee linear dependence.
1. A.P. only relates elements, not full $R_2$. No guaranteed proportionality
3. Determinant depends on other values
Correct Answer: 4