Matrices & Determinants
Properties of determinants
Grade 12
Question:
<p>If all rows multiplied by k, determinant becomes:</p>
k\(\Delta\)
k^2\(\Delta\)
k^3\(\Delta\)
\(\Delta\)
Step-by-Step Solution
Key Concept: Each row contributes factor k \to total k^3.
1. Each row \times k
2. Total factor = k^3
3. Determinant = k^3$\Delta$
Correct Answer: 3