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 one row is replaced by sum of two rows, determinant becomes:</p>
Step-by-Step Solution
Key Concept: Adding multiple of one row to another does not change determinant.
1. Replace row by sum
2. Determinant unchanged
3. Answer = same
Correct Answer: 1