Determinants
Oswaal
CBSE
Grade 12
Question:
If $A$ is a square matrix of order $3 \times 3$, then $|k A|$ is equal to:
(a) $k^3 |A|$
(b) $k |A|$
(c) $k^2 |A|$
(d) $3 k |A|$
Step-by-Step Solution
Key Concept: |kA| = k^n |A| = k^3 |A| for n=3.
The detailed step-by-step mathematical proof is available inside the Mathbee app workspace.
Correct Answer: $k^3 |A|$
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