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 \(\Delta\) = 0, then rows are:</p>
independent
dependent
equal
perpendicular
Step-by-Step Solution
Key Concept: Zero determinant implies linear dependence of rows.
1. $\Delta$ = 0
2. Rows are linearly dependent
Correct Answer: 2